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Finding the Fourth Proportional to 147,578.67, 203,642.85 and 83,046.78

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Solution

The fourth proportional to 147,578.67, 203,642.85 and 83,046.78 is: 114,595.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,578.67 : 203,642.85 = 83,046.78 : x
  2. Step 2: Convert to fraction form
    147,578.67/203,642.85 = 83,046.78/x
  3. Step 3: Cross multiply
    147,578.67x = 203,642.85 × 83,046.78
  4. Step 4: Simplify right side
    147,578.67x = 16,911,882,962.52
  5. Step 5: Solve for x
    x = 16,911,882,962.52/147,578.67
  6. Step 6: Final answer
    x = 114,595.71

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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.