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Finding the Fourth Proportional to 52,158.60, 71,978.22 and 28,285.20

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Solution

The fourth proportional to 52,158.60, 71,978.22 and 28,285.20 is: 39,033.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,158.60 : 71,978.22 = 28,285.20 : x
  2. Step 2: Convert to fraction form
    52,158.60/71,978.22 = 28,285.20/x
  3. Step 3: Cross multiply
    52,158.60x = 71,978.22 × 28,285.20
  4. Step 4: Simplify right side
    52,158.60x = 2,035,918,348.34
  5. Step 5: Solve for x
    x = 2,035,918,348.34/52,158.60
  6. Step 6: Final answer
    x = 39,033.22

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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.