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Finding the Fourth Proportional to 71,708.55, 98,953.74 and 39,876.78

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Solution

The fourth proportional to 71,708.55, 98,953.74 and 39,876.78 is: 55,027.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,708.55 : 98,953.74 = 39,876.78 : x
  2. Step 2: Convert to fraction form
    71,708.55/98,953.74 = 39,876.78/x
  3. Step 3: Cross multiply
    71,708.55x = 98,953.74 × 39,876.78
  4. Step 4: Simplify right side
    71,708.55x = 3,945,956,520.16
  5. Step 5: Solve for x
    x = 3,945,956,520.16/71,708.55
  6. Step 6: Final answer
    x = 55,027.70

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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.