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Finding the Fourth Proportional to 120,277, 165,984.98 and 77,909.28

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Solution

The fourth proportional to 120,277, 165,984.98 and 77,909.28 is: 107,516.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,277 : 165,984.98 = 77,909.28 : x
  2. Step 2: Convert to fraction form
    120,277/165,984.98 = 77,909.28/x
  3. Step 3: Cross multiply
    120,277x = 165,984.98 × 77,909.28
  4. Step 4: Simplify right side
    120,277x = 12,931,770,282.61
  5. Step 5: Solve for x
    x = 12,931,770,282.61/120,277
  6. Step 6: Final answer
    x = 107,516.57

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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.