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Finding the Fourth Proportional to 72,654.30, 108,978.46 and 25,280.13

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Solution

The fourth proportional to 72,654.30, 108,978.46 and 25,280.13 is: 37,919.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,654.30 : 108,978.46 = 25,280.13 : x
  2. Step 2: Convert to fraction form
    72,654.30/108,978.46 = 25,280.13/x
  3. Step 3: Cross multiply
    72,654.30x = 108,978.46 × 25,280.13
  4. Step 4: Simplify right side
    72,654.30x = 2,754,989,636.00
  5. Step 5: Solve for x
    x = 2,754,989,636.00/72,654.30
  6. Step 6: Final answer
    x = 37,919.15

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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.