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Finding the Fourth Proportional to 142,654.60, 213,861.48 and 89,947.90

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Solution

The fourth proportional to 142,654.60, 213,861.48 and 89,947.90 is: 134,845.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,654.60 : 213,861.48 = 89,947.90 : x
  2. Step 2: Convert to fraction form
    142,654.60/213,861.48 = 89,947.90/x
  3. Step 3: Cross multiply
    142,654.60x = 213,861.48 × 89,947.90
  4. Step 4: Simplify right side
    142,654.60x = 19,236,391,016.89
  5. Step 5: Solve for x
    x = 19,236,391,016.89/142,654.60
  6. Step 6: Final answer
    x = 134,845.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.