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Finding the Fourth Proportional to 185,398.52, 278,180.46 and 85,505

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Solution

The fourth proportional to 185,398.52, 278,180.46 and 85,505 is: 128,295.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,398.52 : 278,180.46 = 85,505 : x
  2. Step 2: Convert to fraction form
    185,398.52/278,180.46 = 85,505/x
  3. Step 3: Cross multiply
    185,398.52x = 278,180.46 × 85,505
  4. Step 4: Simplify right side
    185,398.52x = 23,785,820,232.30
  5. Step 5: Solve for x
    x = 23,785,820,232.30/185,398.52
  6. Step 6: Final answer
    x = 128,295.63

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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.