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Finding the Fourth Proportional to 131,854.16, 197,841.72 and 71,901.20

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Solution

The fourth proportional to 131,854.16, 197,841.72 and 71,901.20 is: 107,884.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,854.16 : 197,841.72 = 71,901.20 : x
  2. Step 2: Convert to fraction form
    131,854.16/197,841.72 = 71,901.20/x
  3. Step 3: Cross multiply
    131,854.16x = 197,841.72 × 71,901.20
  4. Step 4: Simplify right side
    131,854.16x = 14,225,057,078.06
  5. Step 5: Solve for x
    x = 14,225,057,078.06/131,854.16
  6. Step 6: Final answer
    x = 107,884.78

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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.