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Finding the Fourth Proportional to 123,687.36, 170,830.56 and 81,434.88

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Solution

The fourth proportional to 123,687.36, 170,830.56 and 81,434.88 is: 112,473.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,687.36 : 170,830.56 = 81,434.88 : x
  2. Step 2: Convert to fraction form
    123,687.36/170,830.56 = 81,434.88/x
  3. Step 3: Cross multiply
    123,687.36x = 170,830.56 × 81,434.88
  4. Step 4: Simplify right side
    123,687.36x = 13,911,566,153.93
  5. Step 5: Solve for x
    x = 13,911,566,153.93/123,687.36
  6. Step 6: Final answer
    x = 112,473.63

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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.