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Finding the Fourth Proportional to 91,642, 137,463 and 29,317.36

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Solution

The fourth proportional to 91,642, 137,463 and 29,317.36 is: 43,976.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,642 : 137,463 = 29,317.36 : x
  2. Step 2: Convert to fraction form
    91,642/137,463 = 29,317.36/x
  3. Step 3: Cross multiply
    91,642x = 137,463 × 29,317.36
  4. Step 4: Simplify right side
    91,642x = 4,030,052,257.68
  5. Step 5: Solve for x
    x = 4,030,052,257.68/91,642
  6. Step 6: Final answer
    x = 43,976.04

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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.