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Finding the Fourth Proportional to 133,439.52, 200,127.84 and 49,153.92

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Solution

The fourth proportional to 133,439.52, 200,127.84 and 49,153.92 is: 73,719.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,439.52 : 200,127.84 = 49,153.92 : x
  2. Step 2: Convert to fraction form
    133,439.52/200,127.84 = 49,153.92/x
  3. Step 3: Cross multiply
    133,439.52x = 200,127.84 × 49,153.92
  4. Step 4: Simplify right side
    133,439.52x = 9,837,067,837.13
  5. Step 5: Solve for x
    x = 9,837,067,837.13/133,439.52
  6. Step 6: Final answer
    x = 73,719.30

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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.