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Finding the Fourth Proportional to 100,678.32, 138,924.90 and 60,393.78

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Solution

The fourth proportional to 100,678.32, 138,924.90 and 60,393.78 is: 83,336.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,678.32 : 138,924.90 = 60,393.78 : x
  2. Step 2: Convert to fraction form
    100,678.32/138,924.90 = 60,393.78/x
  3. Step 3: Cross multiply
    100,678.32x = 138,924.90 × 60,393.78
  4. Step 4: Simplify right side
    100,678.32x = 8,390,199,847.12
  5. Step 5: Solve for x
    x = 8,390,199,847.12/100,678.32
  6. Step 6: Final answer
    x = 83,336.71

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1.5x scale

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.