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Finding the Fourth Proportional to 259,691.76, 389,588.13 and 99,756

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Solution

The fourth proportional to 259,691.76, 389,588.13 and 99,756 is: 149,653.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,691.76 : 389,588.13 = 99,756 : x
  2. Step 2: Convert to fraction form
    259,691.76/389,588.13 = 99,756/x
  3. Step 3: Cross multiply
    259,691.76x = 389,588.13 × 99,756
  4. Step 4: Simplify right side
    259,691.76x = 38,863,753,496.28
  5. Step 5: Solve for x
    x = 38,863,753,496.28/259,691.76
  6. Step 6: Final answer
    x = 149,653.39

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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.