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Finding the Fourth Proportional to 92,428.61, 138,642.93 and 25,878.54

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Solution

The fourth proportional to 92,428.61, 138,642.93 and 25,878.54 is: 38,817.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,428.61 : 138,642.93 = 25,878.54 : x
  2. Step 2: Convert to fraction form
    92,428.61/138,642.93 = 25,878.54/x
  3. Step 3: Cross multiply
    92,428.61x = 138,642.93 × 25,878.54
  4. Step 4: Simplify right side
    92,428.61x = 3,587,876,609.72
  5. Step 5: Solve for x
    x = 3,587,876,609.72/92,428.61
  6. Step 6: Final answer
    x = 38,817.82

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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.