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Finding the Fourth Proportional to 185,053.78, 255,374.01 and 100,170.82

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Solution

The fourth proportional to 185,053.78, 255,374.01 and 100,170.82 is: 138,235.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,053.78 : 255,374.01 = 100,170.82 : x
  2. Step 2: Convert to fraction form
    185,053.78/255,374.01 = 100,170.82/x
  3. Step 3: Cross multiply
    185,053.78x = 255,374.01 × 100,170.82
  4. Step 4: Simplify right side
    185,053.78x = 25,581,023,988.39
  5. Step 5: Solve for x
    x = 25,581,023,988.39/185,053.78
  6. Step 6: Final answer
    x = 138,235.62

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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.