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Finding the Fourth Proportional to 120,161.93, 165,823.97 and 65,715.17

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Solution

The fourth proportional to 120,161.93, 165,823.97 and 65,715.17 is: 90,687.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,161.93 : 165,823.97 = 65,715.17 : x
  2. Step 2: Convert to fraction form
    120,161.93/165,823.97 = 65,715.17/x
  3. Step 3: Cross multiply
    120,161.93x = 165,823.97 × 65,715.17
  4. Step 4: Simplify right side
    120,161.93x = 10,897,149,220.93
  5. Step 5: Solve for x
    x = 10,897,149,220.93/120,161.93
  6. Step 6: Final answer
    x = 90,687.21

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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.