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Finding the Fourth Proportional to 71,534.85, 98,719.31 and 39,272.51

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Solution

The fourth proportional to 71,534.85, 98,719.31 and 39,272.51 is: 54,196.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,534.85 : 98,719.31 = 39,272.51 : x
  2. Step 2: Convert to fraction form
    71,534.85/98,719.31 = 39,272.51/x
  3. Step 3: Cross multiply
    71,534.85x = 98,719.31 × 39,272.51
  4. Step 4: Simplify right side
    71,534.85x = 3,876,954,399.21
  5. Step 5: Solve for x
    x = 3,876,954,399.21/71,534.85
  6. Step 6: Final answer
    x = 54,196.72

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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.