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Finding the Fourth Proportional to 205,604.40, 283,718.28 and 125,020.88

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Solution

The fourth proportional to 205,604.40, 283,718.28 and 125,020.88 is: 172,519.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,604.40 : 283,718.28 = 125,020.88 : x
  2. Step 2: Convert to fraction form
    205,604.40/283,718.28 = 125,020.88/x
  3. Step 3: Cross multiply
    205,604.40x = 283,718.28 × 125,020.88
  4. Step 4: Simplify right side
    205,604.40x = 35,470,709,037.69
  5. Step 5: Solve for x
    x = 35,470,709,037.69/205,604.40
  6. Step 6: Final answer
    x = 172,519.21

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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.