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Finding the Fourth Proportional to 71,719.50, 98,972.91 and 41,911.50

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Solution

The fourth proportional to 71,719.50, 98,972.91 and 41,911.50 is: 57,837.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,719.50 : 98,972.91 = 41,911.50 : x
  2. Step 2: Convert to fraction form
    71,719.50/98,972.91 = 41,911.50/x
  3. Step 3: Cross multiply
    71,719.50x = 98,972.91 × 41,911.50
  4. Step 4: Simplify right side
    71,719.50x = 4,148,103,117.47
  5. Step 5: Solve for x
    x = 4,148,103,117.47/71,719.50
  6. Step 6: Final answer
    x = 57,837.87

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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.