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Finding the Fourth Proportional to 83,865.56, 115,706.90 and 47,562.88

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Solution

The fourth proportional to 83,865.56, 115,706.90 and 47,562.88 is: 65,621.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,865.56 : 115,706.90 = 47,562.88 : x
  2. Step 2: Convert to fraction form
    83,865.56/115,706.90 = 47,562.88/x
  3. Step 3: Cross multiply
    83,865.56x = 115,706.90 × 47,562.88
  4. Step 4: Simplify right side
    83,865.56x = 5,503,353,399.87
  5. Step 5: Solve for x
    x = 5,503,353,399.87/83,865.56
  6. Step 6: Final answer
    x = 65,621.14

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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.