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Finding the Fourth Proportional to 84,109.55, 126,052.24 and 39,748.08

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Solution

The fourth proportional to 84,109.55, 126,052.24 and 39,748.08 is: 59,569.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,109.55 : 126,052.24 = 39,748.08 : x
  2. Step 2: Convert to fraction form
    84,109.55/126,052.24 = 39,748.08/x
  3. Step 3: Cross multiply
    84,109.55x = 126,052.24 × 39,748.08
  4. Step 4: Simplify right side
    84,109.55x = 5,010,334,519.70
  5. Step 5: Solve for x
    x = 5,010,334,519.70/84,109.55
  6. Step 6: Final answer
    x = 59,569.15

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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.