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Finding the Fourth Proportional to 133,691.90, 200,475.21 and 77,548.10

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Solution

The fourth proportional to 133,691.90, 200,475.21 and 77,548.10 is: 116,285.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,691.90 : 200,475.21 = 77,548.10 : x
  2. Step 2: Convert to fraction form
    133,691.90/200,475.21 = 77,548.10/x
  3. Step 3: Cross multiply
    133,691.90x = 200,475.21 × 77,548.10
  4. Step 4: Simplify right side
    133,691.90x = 15,546,471,632.60
  5. Step 5: Solve for x
    x = 15,546,471,632.60/133,691.90
  6. Step 6: Final answer
    x = 116,285.82

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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.