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Finding the Fourth Proportional to 71,713.20, 98,861.64 and 47,831.16

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Solution

The fourth proportional to 71,713.20, 98,861.64 and 47,831.16 is: 65,938.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,713.20 : 98,861.64 = 47,831.16 : x
  2. Step 2: Convert to fraction form
    71,713.20/98,861.64 = 47,831.16/x
  3. Step 3: Cross multiply
    71,713.20x = 98,861.64 × 47,831.16
  4. Step 4: Simplify right side
    71,713.20x = 4,728,666,920.70
  5. Step 5: Solve for x
    x = 4,728,666,920.70/71,713.20
  6. Step 6: Final answer
    x = 65,938.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.