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Finding the Fourth Proportional to 83,759.50, 125,668.38 and 39,420.10

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Solution

The fourth proportional to 83,759.50, 125,668.38 and 39,420.10 is: 59,143.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,759.50 : 125,668.38 = 39,420.10 : x
  2. Step 2: Convert to fraction form
    83,759.50/125,668.38 = 39,420.10/x
  3. Step 3: Cross multiply
    83,759.50x = 125,668.38 × 39,420.10
  4. Step 4: Simplify right side
    83,759.50x = 4,953,860,106.44
  5. Step 5: Solve for x
    x = 4,953,860,106.44/83,759.50
  6. Step 6: Final answer
    x = 59,143.86

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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.