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Finding the Fourth Proportional to 185,269.96, 255,673.43 and 100,387

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Solution

The fourth proportional to 185,269.96, 255,673.43 and 100,387 is: 138,534.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,269.96 : 255,673.43 = 100,387 : x
  2. Step 2: Convert to fraction form
    185,269.96/255,673.43 = 100,387/x
  3. Step 3: Cross multiply
    185,269.96x = 255,673.43 × 100,387
  4. Step 4: Simplify right side
    185,269.96x = 25,666,288,617.41
  5. Step 5: Solve for x
    x = 25,666,288,617.41/185,269.96
  6. Step 6: Final answer
    x = 138,534.54

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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.