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Finding the Fourth Proportional to 57,319.20, 85,978.80 and 38,656.80

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Solution

The fourth proportional to 57,319.20, 85,978.80 and 38,656.80 is: 57,985.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,319.20 : 85,978.80 = 38,656.80 : x
  2. Step 2: Convert to fraction form
    57,319.20/85,978.80 = 38,656.80/x
  3. Step 3: Cross multiply
    57,319.20x = 85,978.80 × 38,656.80
  4. Step 4: Simplify right side
    57,319.20x = 3,323,665,275.84
  5. Step 5: Solve for x
    x = 3,323,665,275.84/57,319.20
  6. Step 6: Final answer
    x = 57,985.20

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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.