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Finding the Fourth Proportional to 47,812.80, 71,686.80 and 25,327.20

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Solution

The fourth proportional to 47,812.80, 71,686.80 and 25,327.20 is: 37,973.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,812.80 : 71,686.80 = 25,327.20 : x
  2. Step 2: Convert to fraction form
    47,812.80/71,686.80 = 25,327.20/x
  3. Step 3: Cross multiply
    47,812.80x = 71,686.80 × 25,327.20
  4. Step 4: Simplify right side
    47,812.80x = 1,815,625,920.96
  5. Step 5: Solve for x
    x = 1,815,625,920.96/47,812.80
  6. Step 6: Final answer
    x = 37,973.64

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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.