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Finding the Fourth Proportional to 71,431.76, 98,468.52 and 47,507.60

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Solution

The fourth proportional to 71,431.76, 98,468.52 and 47,507.60 is: 65,489.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,431.76 : 98,468.52 = 47,507.60 : x
  2. Step 2: Convert to fraction form
    71,431.76/98,468.52 = 47,507.60/x
  3. Step 3: Cross multiply
    71,431.76x = 98,468.52 × 47,507.60
  4. Step 4: Simplify right side
    71,431.76x = 4,678,003,060.75
  5. Step 5: Solve for x
    x = 4,678,003,060.75/71,431.76
  6. Step 6: Final answer
    x = 65,489.12

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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.