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Finding the Fourth Proportional to 81,062, 121,593.54 and 25,658

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Solution

The fourth proportional to 81,062, 121,593.54 and 25,658 is: 38,487.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,062 : 121,593.54 = 25,658 : x
  2. Step 2: Convert to fraction form
    81,062/121,593.54 = 25,658/x
  3. Step 3: Cross multiply
    81,062x = 121,593.54 × 25,658
  4. Step 4: Simplify right side
    81,062x = 3,119,847,049.32
  5. Step 5: Solve for x
    x = 3,119,847,049.32/81,062
  6. Step 6: Final answer
    x = 38,487.17

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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.