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Finding the Fourth Proportional to 71,284, 98,397.84 and 41,476

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Solution

The fourth proportional to 71,284, 98,397.84 and 41,476 is: 57,251.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,284 : 98,397.84 = 41,476 : x
  2. Step 2: Convert to fraction form
    71,284/98,397.84 = 41,476/x
  3. Step 3: Cross multiply
    71,284x = 98,397.84 × 41,476
  4. Step 4: Simplify right side
    71,284x = 4,081,148,811.84
  5. Step 5: Solve for x
    x = 4,081,148,811.84/71,284
  6. Step 6: Final answer
    x = 57,251.96

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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.