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Finding the Fourth Proportional to 100,614.97, 138,841.95 and 55,291.98

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Solution

The fourth proportional to 100,614.97, 138,841.95 and 55,291.98 is: 76,299.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,614.97 : 138,841.95 = 55,291.98 : x
  2. Step 2: Convert to fraction form
    100,614.97/138,841.95 = 55,291.98/x
  3. Step 3: Cross multiply
    100,614.97x = 138,841.95 × 55,291.98
  4. Step 4: Simplify right side
    100,614.97x = 7,676,845,699.00
  5. Step 5: Solve for x
    x = 7,676,845,699.00/100,614.97
  6. Step 6: Final answer
    x = 76,299.24

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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.