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Finding the Fourth Proportional to 97,732.80, 146,404.80 and 90,734.40

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Solution

The fourth proportional to 97,732.80, 146,404.80 and 90,734.40 is: 135,921.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,732.80 : 146,404.80 = 90,734.40 : x
  2. Step 2: Convert to fraction form
    97,732.80/146,404.80 = 90,734.40/x
  3. Step 3: Cross multiply
    97,732.80x = 146,404.80 × 90,734.40
  4. Step 4: Simplify right side
    97,732.80x = 13,283,951,685.12
  5. Step 5: Solve for x
    x = 13,283,951,685.12/97,732.80
  6. Step 6: Final answer
    x = 135,921.12

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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.