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Finding the Fourth Proportional to 138,853.91, 208,237.80 and 50,095.88

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Solution

The fourth proportional to 138,853.91, 208,237.80 and 50,095.88 is: 75,128.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,853.91 : 208,237.80 = 50,095.88 : x
  2. Step 2: Convert to fraction form
    138,853.91/208,237.80 = 50,095.88/x
  3. Step 3: Cross multiply
    138,853.91x = 208,237.80 × 50,095.88
  4. Step 4: Simplify right side
    138,853.91x = 10,431,855,840.26
  5. Step 5: Solve for x
    x = 10,431,855,840.26/138,853.91
  6. Step 6: Final answer
    x = 75,128.28

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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.