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Finding the Fourth Proportional to 100,618.50, 138,853.56 and 55,906.50

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Solution

The fourth proportional to 100,618.50, 138,853.56 and 55,906.50 is: 77,150.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,618.50 : 138,853.56 = 55,906.50 : x
  2. Step 2: Convert to fraction form
    100,618.50/138,853.56 = 55,906.50/x
  3. Step 3: Cross multiply
    100,618.50x = 138,853.56 × 55,906.50
  4. Step 4: Simplify right side
    100,618.50x = 7,762,816,552.14
  5. Step 5: Solve for x
    x = 7,762,816,552.14/100,618.50
  6. Step 6: Final answer
    x = 77,150.99

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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.