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Finding the Fourth Proportional to 185,434.80, 278,029.30 and 67,090.74

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Solution

The fourth proportional to 185,434.80, 278,029.30 and 67,090.74 is: 100,591.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,434.80 : 278,029.30 = 67,090.74 : x
  2. Step 2: Convert to fraction form
    185,434.80/278,029.30 = 67,090.74/x
  3. Step 3: Cross multiply
    185,434.80x = 278,029.30 × 67,090.74
  4. Step 4: Simplify right side
    185,434.80x = 18,653,191,478.68
  5. Step 5: Solve for x
    x = 18,653,191,478.68/185,434.80
  6. Step 6: Final answer
    x = 100,591.64

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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.