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Finding the Fourth Proportional to 185,418.32, 278,004.56 and 67,074.08

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Solution

The fourth proportional to 185,418.32, 278,004.56 and 67,074.08 is: 100,566.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,418.32 : 278,004.56 = 67,074.08 : x
  2. Step 2: Convert to fraction form
    185,418.32/278,004.56 = 67,074.08/x
  3. Step 3: Cross multiply
    185,418.32x = 278,004.56 × 67,074.08
  4. Step 4: Simplify right side
    185,418.32x = 18,646,900,097.80
  5. Step 5: Solve for x
    x = 18,646,900,097.80/185,418.32
  6. Step 6: Final answer
    x = 100,566.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.