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Finding the Fourth Proportional to 71,907.66, 99,233.06 and 40,078.61

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Solution

The fourth proportional to 71,907.66, 99,233.06 and 40,078.61 is: 55,308.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,907.66 : 99,233.06 = 40,078.61 : x
  2. Step 2: Convert to fraction form
    71,907.66/99,233.06 = 40,078.61/x
  3. Step 3: Cross multiply
    71,907.66x = 99,233.06 × 40,078.61
  4. Step 4: Simplify right side
    71,907.66x = 3,977,122,414.29
  5. Step 5: Solve for x
    x = 3,977,122,414.29/71,907.66
  6. Step 6: Final answer
    x = 55,308.74

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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.