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Finding the Fourth Proportional to 91,509.76, 137,263.20 and 29,179.84

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Solution

The fourth proportional to 91,509.76, 137,263.20 and 29,179.84 is: 43,769.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,509.76 : 137,263.20 = 29,179.84 : x
  2. Step 2: Convert to fraction form
    91,509.76/137,263.20 = 29,179.84/x
  3. Step 3: Cross multiply
    91,509.76x = 137,263.20 × 29,179.84
  4. Step 4: Simplify right side
    91,509.76x = 4,005,318,213.89
  5. Step 5: Solve for x
    x = 4,005,318,213.89/91,509.76
  6. Step 6: Final answer
    x = 43,769.30

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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.