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Finding the Fourth Proportional to 133,280.64, 199,687.68 and 77,760

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Solution

The fourth proportional to 133,280.64, 199,687.68 and 77,760 is: 116,503.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,280.64 : 199,687.68 = 77,760 : x
  2. Step 2: Convert to fraction form
    133,280.64/199,687.68 = 77,760/x
  3. Step 3: Cross multiply
    133,280.64x = 199,687.68 × 77,760
  4. Step 4: Simplify right side
    133,280.64x = 15,527,713,996.80
  5. Step 5: Solve for x
    x = 15,527,713,996.80/133,280.64
  6. Step 6: Final answer
    x = 116,503.90

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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.