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Finding the Fourth Proportional to 97,630.31, 134,691.32 and 61,310.40

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Solution

The fourth proportional to 97,630.31, 134,691.32 and 61,310.40 is: 84,584.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,630.31 : 134,691.32 = 61,310.40 : x
  2. Step 2: Convert to fraction form
    97,630.31/134,691.32 = 61,310.40/x
  3. Step 3: Cross multiply
    97,630.31x = 134,691.32 × 61,310.40
  4. Step 4: Simplify right side
    97,630.31x = 8,257,978,353.91
  5. Step 5: Solve for x
    x = 8,257,978,353.91/97,630.31
  6. Step 6: Final answer
    x = 84,584.16

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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.