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Finding the Fourth Proportional to 78,562.33, 117,749.88 and 54,740.92

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Solution

The fourth proportional to 78,562.33, 117,749.88 and 54,740.92 is: 82,046.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,562.33 : 117,749.88 = 54,740.92 : x
  2. Step 2: Convert to fraction form
    78,562.33/117,749.88 = 54,740.92/x
  3. Step 3: Cross multiply
    78,562.33x = 117,749.88 × 54,740.92
  4. Step 4: Simplify right side
    78,562.33x = 6,445,736,761.09
  5. Step 5: Solve for x
    x = 6,445,736,761.09/78,562.33
  6. Step 6: Final answer
    x = 82,046.15

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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.