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Finding the Fourth Proportional to 123,857.16, 170,993.70 and 81,538.71

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Solution

The fourth proportional to 123,857.16, 170,993.70 and 81,538.71 is: 112,570.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,857.16 : 170,993.70 = 81,538.71 : x
  2. Step 2: Convert to fraction form
    123,857.16/170,993.70 = 81,538.71/x
  3. Step 3: Cross multiply
    123,857.16x = 170,993.70 × 81,538.71
  4. Step 4: Simplify right side
    123,857.16x = 13,942,605,716.13
  5. Step 5: Solve for x
    x = 13,942,605,716.13/123,857.16
  6. Step 6: Final answer
    x = 112,570.04

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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.