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Finding the Fourth Proportional to 71,287, 98,352 and 41,071.52

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Solution

The fourth proportional to 71,287, 98,352 and 41,071.52 is: 56,664.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,287 : 98,352 = 41,071.52 : x
  2. Step 2: Convert to fraction form
    71,287/98,352 = 41,071.52/x
  3. Step 3: Cross multiply
    71,287x = 98,352 × 41,071.52
  4. Step 4: Simplify right side
    71,287x = 4,039,466,135.04
  5. Step 5: Solve for x
    x = 4,039,466,135.04/71,287
  6. Step 6: Final answer
    x = 56,664.84

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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.