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Finding the Fourth Proportional to 91,776.60, 137,649.78 and 29,439

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Solution

The fourth proportional to 91,776.60, 137,649.78 and 29,439 is: 44,153.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,776.60 : 137,649.78 = 29,439 : x
  2. Step 2: Convert to fraction form
    91,776.60/137,649.78 = 29,439/x
  3. Step 3: Cross multiply
    91,776.60x = 137,649.78 × 29,439
  4. Step 4: Simplify right side
    91,776.60x = 4,052,271,873.42
  5. Step 5: Solve for x
    x = 4,052,271,873.42/91,776.60
  6. Step 6: Final answer
    x = 44,153.65

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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.