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Finding the Fourth Proportional to 100,297.68, 138,407.13 and 54,974.40

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Solution

The fourth proportional to 100,297.68, 138,407.13 and 54,974.40 is: 75,862.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,297.68 : 138,407.13 = 54,974.40 : x
  2. Step 2: Convert to fraction form
    100,297.68/138,407.13 = 54,974.40/x
  3. Step 3: Cross multiply
    100,297.68x = 138,407.13 × 54,974.40
  4. Step 4: Simplify right side
    100,297.68x = 7,608,848,927.47
  5. Step 5: Solve for x
    x = 7,608,848,927.47/100,297.68
  6. Step 6: Final answer
    x = 75,862.66

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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.