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Finding the Fourth Proportional to 83,442.78, 125,209.72 and 35,403.98

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Solution

The fourth proportional to 83,442.78, 125,209.72 and 35,403.98 is: 53,125.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,442.78 : 125,209.72 = 35,403.98 : x
  2. Step 2: Convert to fraction form
    83,442.78/125,209.72 = 35,403.98/x
  3. Step 3: Cross multiply
    83,442.78x = 125,209.72 × 35,403.98
  4. Step 4: Simplify right side
    83,442.78x = 4,432,922,422.69
  5. Step 5: Solve for x
    x = 4,432,922,422.69/83,442.78
  6. Step 6: Final answer
    x = 53,125.30

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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.