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Finding the Fourth Proportional to 100,642.92, 138,894.48 and 60,355.95

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Solution

The fourth proportional to 100,642.92, 138,894.48 and 60,355.95 is: 83,295.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,642.92 : 138,894.48 = 60,355.95 : x
  2. Step 2: Convert to fraction form
    100,642.92/138,894.48 = 60,355.95/x
  3. Step 3: Cross multiply
    100,642.92x = 138,894.48 × 60,355.95
  4. Step 4: Simplify right side
    100,642.92x = 8,383,108,290.16
  5. Step 5: Solve for x
    x = 8,383,108,290.16/100,642.92
  6. Step 6: Final answer
    x = 83,295.56

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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.