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Finding the Fourth Proportional to 47,695.20, 71,542.80 and 36,657.60

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Solution

The fourth proportional to 47,695.20, 71,542.80 and 36,657.60 is: 54,986.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,695.20 : 71,542.80 = 36,657.60 : x
  2. Step 2: Convert to fraction form
    47,695.20/71,542.80 = 36,657.60/x
  3. Step 3: Cross multiply
    47,695.20x = 71,542.80 × 36,657.60
  4. Step 4: Simplify right side
    47,695.20x = 2,622,587,345.28
  5. Step 5: Solve for x
    x = 2,622,587,345.28/47,695.20
  6. Step 6: Final answer
    x = 54,986.40

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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.