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Finding the Fourth Proportional to 120,205.52, 165,827.76 and 77,777.76

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Solution

The fourth proportional to 120,205.52, 165,827.76 and 77,777.76 is: 107,297.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,205.52 : 165,827.76 = 77,777.76 : x
  2. Step 2: Convert to fraction form
    120,205.52/165,827.76 = 77,777.76/x
  3. Step 3: Cross multiply
    120,205.52x = 165,827.76 × 77,777.76
  4. Step 4: Simplify right side
    120,205.52x = 12,897,711,718.62
  5. Step 5: Solve for x
    x = 12,897,711,718.62/120,205.52
  6. Step 6: Final answer
    x = 107,297.17

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1.5x scale

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.