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Finding the Fourth Proportional to 81,688.92, 112,755.18 and 47,706.60

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Solution

The fourth proportional to 81,688.92, 112,755.18 and 47,706.60 is: 65,849.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,688.92 : 112,755.18 = 47,706.60 : x
  2. Step 2: Convert to fraction form
    81,688.92/112,755.18 = 47,706.60/x
  3. Step 3: Cross multiply
    81,688.92x = 112,755.18 × 47,706.60
  4. Step 4: Simplify right side
    81,688.92x = 5,379,166,270.19
  5. Step 5: Solve for x
    x = 5,379,166,270.19/81,688.92
  6. Step 6: Final answer
    x = 65,849.40

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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.