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Finding the Fourth Proportional to 57,748, 86,475.12 and 52,422.88

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Solution

The fourth proportional to 57,748, 86,475.12 and 52,422.88 is: 78,500.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,748 : 86,475.12 = 52,422.88 : x
  2. Step 2: Convert to fraction form
    57,748/86,475.12 = 52,422.88/x
  3. Step 3: Cross multiply
    57,748x = 86,475.12 × 52,422.88
  4. Step 4: Simplify right side
    57,748x = 4,533,274,838.75
  5. Step 5: Solve for x
    x = 4,533,274,838.75/57,748
  6. Step 6: Final answer
    x = 78,500.98

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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.