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Finding the Fourth Proportional to 71,723.76, 98,978.16 and 39,893.40

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Solution

The fourth proportional to 71,723.76, 98,978.16 and 39,893.40 is: 55,052.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,723.76 : 98,978.16 = 39,893.40 : x
  2. Step 2: Convert to fraction form
    71,723.76/98,978.16 = 39,893.40/x
  3. Step 3: Cross multiply
    71,723.76x = 98,978.16 × 39,893.40
  4. Step 4: Simplify right side
    71,723.76x = 3,948,575,328.14
  5. Step 5: Solve for x
    x = 3,948,575,328.14/71,723.76
  6. Step 6: Final answer
    x = 55,052.54

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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.