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Finding the Fourth Proportional to 133,264.80, 199,931.79 and 39,770.55

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Solution

The fourth proportional to 133,264.80, 199,931.79 and 39,770.55 is: 59,666.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,264.80 : 199,931.79 = 39,770.55 : x
  2. Step 2: Convert to fraction form
    133,264.80/199,931.79 = 39,770.55/x
  3. Step 3: Cross multiply
    133,264.80x = 199,931.79 × 39,770.55
  4. Step 4: Simplify right side
    133,264.80x = 7,951,397,250.78
  5. Step 5: Solve for x
    x = 7,951,397,250.78/133,264.80
  6. Step 6: Final answer
    x = 59,666.15

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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.