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Finding the Fourth Proportional to 71,140.78, 98,173.11 and 39,311.02

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Solution

The fourth proportional to 71,140.78, 98,173.11 and 39,311.02 is: 54,248.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,140.78 : 98,173.11 = 39,311.02 : x
  2. Step 2: Convert to fraction form
    71,140.78/98,173.11 = 39,311.02/x
  3. Step 3: Cross multiply
    71,140.78x = 98,173.11 × 39,311.02
  4. Step 4: Simplify right side
    71,140.78x = 3,859,285,090.67
  5. Step 5: Solve for x
    x = 3,859,285,090.67/71,140.78
  6. Step 6: Final answer
    x = 54,248.56

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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.