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Finding the Fourth Proportional to 123,872.58, 170,971.32 and 81,435.06

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Solution

The fourth proportional to 123,872.58, 170,971.32 and 81,435.06 is: 112,398.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,872.58 : 170,971.32 = 81,435.06 : x
  2. Step 2: Convert to fraction form
    123,872.58/170,971.32 = 81,435.06/x
  3. Step 3: Cross multiply
    123,872.58x = 170,971.32 × 81,435.06
  4. Step 4: Simplify right side
    123,872.58x = 13,923,059,702.48
  5. Step 5: Solve for x
    x = 13,923,059,702.48/123,872.58
  6. Step 6: Final answer
    x = 112,398.24

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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.