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Finding the Fourth Proportional to 84,013.70, 126,031.35 and 41,915.30

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Solution

The fourth proportional to 84,013.70, 126,031.35 and 41,915.30 is: 62,878.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,013.70 : 126,031.35 = 41,915.30 : x
  2. Step 2: Convert to fraction form
    84,013.70/126,031.35 = 41,915.30/x
  3. Step 3: Cross multiply
    84,013.70x = 126,031.35 × 41,915.30
  4. Step 4: Simplify right side
    84,013.70x = 5,282,641,844.66
  5. Step 5: Solve for x
    x = 5,282,641,844.66/84,013.70
  6. Step 6: Final answer
    x = 62,878.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.