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Finding the Fourth Proportional to 119,695.67, 165,191.65 and 89,428.43

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Solution

The fourth proportional to 119,695.67, 165,191.65 and 89,428.43 is: 123,419.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,695.67 : 165,191.65 = 89,428.43 : x
  2. Step 2: Convert to fraction form
    119,695.67/165,191.65 = 89,428.43/x
  3. Step 3: Cross multiply
    119,695.67x = 165,191.65 × 89,428.43
  4. Step 4: Simplify right side
    119,695.67x = 14,772,830,098.02
  5. Step 5: Solve for x
    x = 14,772,830,098.02/119,695.67
  6. Step 6: Final answer
    x = 123,419.92

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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.