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Finding the Fourth Proportional to 78,572.16, 117,764.52 and 54,750.68

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Solution

The fourth proportional to 78,572.16, 117,764.52 and 54,750.68 is: 82,060.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,572.16 : 117,764.52 = 54,750.68 : x
  2. Step 2: Convert to fraction form
    78,572.16/117,764.52 = 54,750.68/x
  3. Step 3: Cross multiply
    78,572.16x = 117,764.52 × 54,750.68
  4. Step 4: Simplify right side
    78,572.16x = 6,447,687,549.87
  5. Step 5: Solve for x
    x = 6,447,687,549.87/78,572.16
  6. Step 6: Final answer
    x = 82,060.71

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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.