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Finding the Fourth Proportional to 87,702.87, 120,949.20 and 57,477.18

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Solution

The fourth proportional to 87,702.87, 120,949.20 and 57,477.18 is: 79,265.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,702.87 : 120,949.20 = 57,477.18 : x
  2. Step 2: Convert to fraction form
    87,702.87/120,949.20 = 57,477.18/x
  3. Step 3: Cross multiply
    87,702.87x = 120,949.20 × 57,477.18
  4. Step 4: Simplify right side
    87,702.87x = 6,951,818,939.26
  5. Step 5: Solve for x
    x = 6,951,818,939.26/87,702.87
  6. Step 6: Final answer
    x = 79,265.58

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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.