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Finding the Fourth Proportional to 120,209.52, 165,833.28 and 77,781.72

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Solution

The fourth proportional to 120,209.52, 165,833.28 and 77,781.72 is: 107,302.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,209.52 : 165,833.28 = 77,781.72 : x
  2. Step 2: Convert to fraction form
    120,209.52/165,833.28 = 77,781.72/x
  3. Step 3: Cross multiply
    120,209.52x = 165,833.28 × 77,781.72
  4. Step 4: Simplify right side
    120,209.52x = 12,898,797,751.64
  5. Step 5: Solve for x
    x = 12,898,797,751.64/120,209.52
  6. Step 6: Final answer
    x = 107,302.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.