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Finding the Fourth Proportional to 91,874.50, 137,811.78 and 29,545

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Solution

The fourth proportional to 91,874.50, 137,811.78 and 29,545 is: 44,317.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,874.50 : 137,811.78 = 29,545 : x
  2. Step 2: Convert to fraction form
    91,874.50/137,811.78 = 29,545/x
  3. Step 3: Cross multiply
    91,874.50x = 137,811.78 × 29,545
  4. Step 4: Simplify right side
    91,874.50x = 4,071,649,040.10
  5. Step 5: Solve for x
    x = 4,071,649,040.10/91,874.50
  6. Step 6: Final answer
    x = 44,317.51

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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.