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Finding the Fourth Proportional to 145,201.20, 217,513.80 and 127,882.80

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Solution

The fourth proportional to 145,201.20, 217,513.80 and 127,882.80 is: 191,570.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,201.20 : 217,513.80 = 127,882.80 : x
  2. Step 2: Convert to fraction form
    145,201.20/217,513.80 = 127,882.80/x
  3. Step 3: Cross multiply
    145,201.20x = 217,513.80 × 127,882.80
  4. Step 4: Simplify right side
    145,201.20x = 27,816,273,782.64
  5. Step 5: Solve for x
    x = 27,816,273,782.64/145,201.20
  6. Step 6: Final answer
    x = 191,570.55

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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.