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Finding the Fourth Proportional to 115,491.85, 159,374.25 and 72,494.44

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Solution

The fourth proportional to 115,491.85, 159,374.25 and 72,494.44 is: 100,039.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,491.85 : 159,374.25 = 72,494.44 : x
  2. Step 2: Convert to fraction form
    115,491.85/159,374.25 = 72,494.44/x
  3. Step 3: Cross multiply
    115,491.85x = 159,374.25 × 72,494.44
  4. Step 4: Simplify right side
    115,491.85x = 11,553,746,605.73
  5. Step 5: Solve for x
    x = 11,553,746,605.73/115,491.85
  6. Step 6: Final answer
    x = 100,039.50

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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.