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Finding the Fourth Proportional to 185,251.20, 255,644.64 and 100,363.20

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Solution

The fourth proportional to 185,251.20, 255,644.64 and 100,363.20 is: 138,500.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,251.20 : 255,644.64 = 100,363.20 : x
  2. Step 2: Convert to fraction form
    185,251.20/255,644.64 = 100,363.20/x
  3. Step 3: Cross multiply
    185,251.20x = 255,644.64 × 100,363.20
  4. Step 4: Simplify right side
    185,251.20x = 25,657,314,133.25
  5. Step 5: Solve for x
    x = 25,657,314,133.25/185,251.20
  6. Step 6: Final answer
    x = 138,500.12

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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.