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Finding the Fourth Proportional to 92,456, 138,660.80 and 25,878.88

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Solution

The fourth proportional to 92,456, 138,660.80 and 25,878.88 is: 38,811.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,456 : 138,660.80 = 25,878.88 : x
  2. Step 2: Convert to fraction form
    92,456/138,660.80 = 25,878.88/x
  3. Step 3: Cross multiply
    92,456x = 138,660.80 × 25,878.88
  4. Step 4: Simplify right side
    92,456x = 3,588,386,203.90
  5. Step 5: Solve for x
    x = 3,588,386,203.90/92,456
  6. Step 6: Final answer
    x = 38,811.83

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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.