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Finding the Fourth Proportional to 100,751.76, 138,988.44 and 78,240.24

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Solution

The fourth proportional to 100,751.76, 138,988.44 and 78,240.24 is: 107,933.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,751.76 : 138,988.44 = 78,240.24 : x
  2. Step 2: Convert to fraction form
    100,751.76/138,988.44 = 78,240.24/x
  3. Step 3: Cross multiply
    100,751.76x = 138,988.44 × 78,240.24
  4. Step 4: Simplify right side
    100,751.76x = 10,874,488,902.83
  5. Step 5: Solve for x
    x = 10,874,488,902.83/100,751.76
  6. Step 6: Final answer
    x = 107,933.49

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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.