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Finding the Fourth Proportional to 72,147.52, 108,222 and 25,400.80

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Solution

The fourth proportional to 72,147.52, 108,222 and 25,400.80 is: 38,101.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,147.52 : 108,222 = 25,400.80 : x
  2. Step 2: Convert to fraction form
    72,147.52/108,222 = 25,400.80/x
  3. Step 3: Cross multiply
    72,147.52x = 108,222 × 25,400.80
  4. Step 4: Simplify right side
    72,147.52x = 2,748,925,377.60
  5. Step 5: Solve for x
    x = 2,748,925,377.60/72,147.52
  6. Step 6: Final answer
    x = 38,101.45

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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.