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Finding the Fourth Proportional to 71,705.91, 98,956.56 and 39,441.90

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Solution

The fourth proportional to 71,705.91, 98,956.56 and 39,441.90 is: 54,431.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,705.91 : 98,956.56 = 39,441.90 : x
  2. Step 2: Convert to fraction form
    71,705.91/98,956.56 = 39,441.90/x
  3. Step 3: Cross multiply
    71,705.91x = 98,956.56 × 39,441.90
  4. Step 4: Simplify right side
    71,705.91x = 3,903,034,743.86
  5. Step 5: Solve for x
    x = 3,903,034,743.86/71,705.91
  6. Step 6: Final answer
    x = 54,431.14

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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.