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Finding the Fourth Proportional to 71,471.63, 98,631.62 and 39,642.57

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Solution

The fourth proportional to 71,471.63, 98,631.62 and 39,642.57 is: 54,707.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,471.63 : 98,631.62 = 39,642.57 : x
  2. Step 2: Convert to fraction form
    71,471.63/98,631.62 = 39,642.57/x
  3. Step 3: Cross multiply
    71,471.63x = 98,631.62 × 39,642.57
  4. Step 4: Simplify right side
    71,471.63x = 3,910,010,701.85
  5. Step 5: Solve for x
    x = 3,910,010,701.85/71,471.63
  6. Step 6: Final answer
    x = 54,707.18

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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.