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Finding the Fourth Proportional to 100,612, 138,845.10 and 55,900

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Solution

The fourth proportional to 100,612, 138,845.10 and 55,900 is: 77,142.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,612 : 138,845.10 = 55,900 : x
  2. Step 2: Convert to fraction form
    100,612/138,845.10 = 55,900/x
  3. Step 3: Cross multiply
    100,612x = 138,845.10 × 55,900
  4. Step 4: Simplify right side
    100,612x = 7,761,441,090
  5. Step 5: Solve for x
    x = 7,761,441,090/100,612
  6. Step 6: Final answer
    x = 77,142.30

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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.