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Finding the Fourth Proportional to 71,358, 98,451.96 and 41,139.48

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Solution

The fourth proportional to 71,358, 98,451.96 and 41,139.48 is: 56,759.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,358 : 98,451.96 = 41,139.48 : x
  2. Step 2: Convert to fraction form
    71,358/98,451.96 = 41,139.48/x
  3. Step 3: Cross multiply
    71,358x = 98,451.96 × 41,139.48
  4. Step 4: Simplify right side
    71,358x = 4,050,262,439.38
  5. Step 5: Solve for x
    x = 4,050,262,439.38/71,358
  6. Step 6: Final answer
    x = 56,759.75

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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.