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Finding the Fourth Proportional to 102,357.80, 153,536.70 and 72,614.60

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Solution

The fourth proportional to 102,357.80, 153,536.70 and 72,614.60 is: 108,921.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,357.80 : 153,536.70 = 72,614.60 : x
  2. Step 2: Convert to fraction form
    102,357.80/153,536.70 = 72,614.60/x
  3. Step 3: Cross multiply
    102,357.80x = 153,536.70 × 72,614.60
  4. Step 4: Simplify right side
    102,357.80x = 11,149,006,055.82
  5. Step 5: Solve for x
    x = 11,149,006,055.82/102,357.80
  6. Step 6: Final answer
    x = 108,921.90

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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.