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Finding the Fourth Proportional to 91,872, 137,808 and 29,542.50

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Solution

The fourth proportional to 91,872, 137,808 and 29,542.50 is: 44,313.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,872 : 137,808 = 29,542.50 : x
  2. Step 2: Convert to fraction form
    91,872/137,808 = 29,542.50/x
  3. Step 3: Cross multiply
    91,872x = 137,808 × 29,542.50
  4. Step 4: Simplify right side
    91,872x = 4,071,192,840
  5. Step 5: Solve for x
    x = 4,071,192,840/91,872
  6. Step 6: Final answer
    x = 44,313.75

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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.