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Finding the Fourth Proportional to 72,170.34, 108,253.08 and 25,422

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Solution

The fourth proportional to 72,170.34, 108,253.08 and 25,422 is: 38,132.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,170.34 : 108,253.08 = 25,422 : x
  2. Step 2: Convert to fraction form
    72,170.34/108,253.08 = 25,422/x
  3. Step 3: Cross multiply
    72,170.34x = 108,253.08 × 25,422
  4. Step 4: Simplify right side
    72,170.34x = 2,752,009,799.76
  5. Step 5: Solve for x
    x = 2,752,009,799.76/72,170.34
  6. Step 6: Final answer
    x = 38,132.14

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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.