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Finding the Fourth Proportional to 215,687,053.80, 323,530,580.70 and 100,683,221.40

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Solution

The fourth proportional to 215,687,053.80, 323,530,580.70 and 100,683,221.40 is: 151,024,832.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,687,053.80 : 323,530,580.70 = 100,683,221.40 : x
  2. Step 2: Convert to fraction form
    215,687,053.80/323,530,580.70 = 100,683,221.40/x
  3. Step 3: Cross multiply
    215,687,053.80x = 323,530,580.70 × 100,683,221.40
  4. Step 4: Simplify right side
    215,687,053.80x = 32,574,101,086,288,668
  5. Step 5: Solve for x
    x = 32,574,101,086,288,668/215,687,053.80
  6. Step 6: Final answer
    x = 151,024,832.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.