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Finding the Fourth Proportional to 98,568.56, 148,517.86 and 81,422.32

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Solution

The fourth proportional to 98,568.56, 148,517.86 and 81,422.32 is: 122,682.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,568.56 : 148,517.86 = 81,422.32 : x
  2. Step 2: Convert to fraction form
    98,568.56/148,517.86 = 81,422.32/x
  3. Step 3: Cross multiply
    98,568.56x = 148,517.86 × 81,422.32
  4. Step 4: Simplify right side
    98,568.56x = 12,092,668,722.64
  5. Step 5: Solve for x
    x = 12,092,668,722.64/98,568.56
  6. Step 6: Final answer
    x = 122,682.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.