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Finding the Fourth Proportional to 86,978.44, 120,033.06 and 49,251.88

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Solution

The fourth proportional to 86,978.44, 120,033.06 and 49,251.88 is: 67,969.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,978.44 : 120,033.06 = 49,251.88 : x
  2. Step 2: Convert to fraction form
    86,978.44/120,033.06 = 49,251.88/x
  3. Step 3: Cross multiply
    86,978.44x = 120,033.06 × 49,251.88
  4. Step 4: Simplify right side
    86,978.44x = 5,911,853,867.15
  5. Step 5: Solve for x
    x = 5,911,853,867.15/86,978.44
  6. Step 6: Final answer
    x = 67,969.19

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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.