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Finding the Fourth Proportional to 100,514.88, 138,705.12 and 55,800

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Solution

The fourth proportional to 100,514.88, 138,705.12 and 55,800 is: 77,000.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,514.88 : 138,705.12 = 55,800 : x
  2. Step 2: Convert to fraction form
    100,514.88/138,705.12 = 55,800/x
  3. Step 3: Cross multiply
    100,514.88x = 138,705.12 × 55,800
  4. Step 4: Simplify right side
    100,514.88x = 7,739,745,696
  5. Step 5: Solve for x
    x = 7,739,745,696/100,514.88
  6. Step 6: Final answer
    x = 77,000.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.