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Finding the Fourth Proportional to 205,332, 283,358.16 and 115,908

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Solution

The fourth proportional to 205,332, 283,358.16 and 115,908 is: 159,953.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,332 : 283,358.16 = 115,908 : x
  2. Step 2: Convert to fraction form
    205,332/283,358.16 = 115,908/x
  3. Step 3: Cross multiply
    205,332x = 283,358.16 × 115,908
  4. Step 4: Simplify right side
    205,332x = 32,843,477,609.28
  5. Step 5: Solve for x
    x = 32,843,477,609.28/205,332
  6. Step 6: Final answer
    x = 159,953.04

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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.