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Finding the Fourth Proportional to 215,615.80, 323,423.70 and 137,078.20

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Solution

The fourth proportional to 215,615.80, 323,423.70 and 137,078.20 is: 205,617.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,615.80 : 323,423.70 = 137,078.20 : x
  2. Step 2: Convert to fraction form
    215,615.80/323,423.70 = 137,078.20/x
  3. Step 3: Cross multiply
    215,615.80x = 323,423.70 × 137,078.20
  4. Step 4: Simplify right side
    215,615.80x = 44,334,338,633.34
  5. Step 5: Solve for x
    x = 44,334,338,633.34/215,615.80
  6. Step 6: Final answer
    x = 205,617.30

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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.