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Finding the Fourth Proportional to 100,407.66, 138,548.19 and 60,111.78

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Solution

The fourth proportional to 100,407.66, 138,548.19 and 60,111.78 is: 82,945.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,407.66 : 138,548.19 = 60,111.78 : x
  2. Step 2: Convert to fraction form
    100,407.66/138,548.19 = 60,111.78/x
  3. Step 3: Cross multiply
    100,407.66x = 138,548.19 × 60,111.78
  4. Step 4: Simplify right side
    100,407.66x = 8,328,378,316.68
  5. Step 5: Solve for x
    x = 8,328,378,316.68/100,407.66
  6. Step 6: Final answer
    x = 82,945.65

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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.