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Finding the Fourth Proportional to 120,110, 165,737.44 and 66,387.76

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Solution

The fourth proportional to 120,110, 165,737.44 and 66,387.76 is: 91,607.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,110 : 165,737.44 = 66,387.76 : x
  2. Step 2: Convert to fraction form
    120,110/165,737.44 = 66,387.76/x
  3. Step 3: Cross multiply
    120,110x = 165,737.44 × 66,387.76
  4. Step 4: Simplify right side
    120,110x = 11,002,937,389.73
  5. Step 5: Solve for x
    x = 11,002,937,389.73/120,110
  6. Step 6: Final answer
    x = 91,607.17

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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.