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Finding the Fourth Proportional to 138,751.40, 208,127.10 and 50,007.80

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Solution

The fourth proportional to 138,751.40, 208,127.10 and 50,007.80 is: 75,011.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,751.40 : 208,127.10 = 50,007.80 : x
  2. Step 2: Convert to fraction form
    138,751.40/208,127.10 = 50,007.80/x
  3. Step 3: Cross multiply
    138,751.40x = 208,127.10 × 50,007.80
  4. Step 4: Simplify right side
    138,751.40x = 10,407,978,391.38
  5. Step 5: Solve for x
    x = 10,407,978,391.38/138,751.40
  6. Step 6: Final answer
    x = 75,011.70

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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.