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Finding the Fourth Proportional to 109,457.82, 151,049.88 and 61,711.20

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Solution

The fourth proportional to 109,457.82, 151,049.88 and 61,711.20 is: 85,160.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,457.82 : 151,049.88 = 61,711.20 : x
  2. Step 2: Convert to fraction form
    109,457.82/151,049.88 = 61,711.20/x
  3. Step 3: Cross multiply
    109,457.82x = 151,049.88 × 61,711.20
  4. Step 4: Simplify right side
    109,457.82x = 9,321,469,354.66
  5. Step 5: Solve for x
    x = 9,321,469,354.66/109,457.82
  6. Step 6: Final answer
    x = 85,160.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.