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Finding the Fourth Proportional to 91,491.38, 137,212.38 and 32,319.26

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Solution

The fourth proportional to 91,491.38, 137,212.38 and 32,319.26 is: 48,470.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,491.38 : 137,212.38 = 32,319.26 : x
  2. Step 2: Convert to fraction form
    91,491.38/137,212.38 = 32,319.26/x
  3. Step 3: Cross multiply
    91,491.38x = 137,212.38 × 32,319.26
  4. Step 4: Simplify right side
    91,491.38x = 4,434,602,584.44
  5. Step 5: Solve for x
    x = 4,434,602,584.44/91,491.38
  6. Step 6: Final answer
    x = 48,470.17

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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.