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Finding the Fourth Proportional to 83,676.33, 115,469.88 and 45,434.38

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Solution

The fourth proportional to 83,676.33, 115,469.88 and 45,434.38 is: 62,697.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,676.33 : 115,469.88 = 45,434.38 : x
  2. Step 2: Convert to fraction form
    83,676.33/115,469.88 = 45,434.38/x
  3. Step 3: Cross multiply
    83,676.33x = 115,469.88 × 45,434.38
  4. Step 4: Simplify right side
    83,676.33x = 5,246,302,406.47
  5. Step 5: Solve for x
    x = 5,246,302,406.47/83,676.33
  6. Step 6: Final answer
    x = 62,697.57

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1.5x scale

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.