Home / 205,909.29-284,154.95-115,265.43

Finding the Fourth Proportional to 205,909.29, 284,154.95 and 115,265.43

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Solution

The fourth proportional to 205,909.29, 284,154.95 and 115,265.43 is: 159,066.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,909.29 : 284,154.95 = 115,265.43 : x
  2. Step 2: Convert to fraction form
    205,909.29/284,154.95 = 115,265.43/x
  3. Step 3: Cross multiply
    205,909.29x = 284,154.95 × 115,265.43
  4. Step 4: Simplify right side
    205,909.29x = 32,753,241,922.05
  5. Step 5: Solve for x
    x = 32,753,241,922.05/205,909.29
  6. Step 6: Final answer
    x = 159,066.36

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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.