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Finding the Fourth Proportional to 112,857.40, 169,286.10 and 105,945.40

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Solution

The fourth proportional to 112,857.40, 169,286.10 and 105,945.40 is: 158,918.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,857.40 : 169,286.10 = 105,945.40 : x
  2. Step 2: Convert to fraction form
    112,857.40/169,286.10 = 105,945.40/x
  3. Step 3: Cross multiply
    112,857.40x = 169,286.10 × 105,945.40
  4. Step 4: Simplify right side
    112,857.40x = 17,935,083,578.94
  5. Step 5: Solve for x
    x = 17,935,083,578.94/112,857.40
  6. Step 6: Final answer
    x = 158,918.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.