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Finding the Fourth Proportional to 61,031.56, 91,391.82 and 29,785

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Solution

The fourth proportional to 61,031.56, 91,391.82 and 29,785 is: 44,601.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,031.56 : 91,391.82 = 29,785 : x
  2. Step 2: Convert to fraction form
    61,031.56/91,391.82 = 29,785/x
  3. Step 3: Cross multiply
    61,031.56x = 91,391.82 × 29,785
  4. Step 4: Simplify right side
    61,031.56x = 2,722,105,358.70
  5. Step 5: Solve for x
    x = 2,722,105,358.70/61,031.56
  6. Step 6: Final answer
    x = 44,601.60

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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.