Home / 205,036.29-282,943.67-120,209.85

Finding the Fourth Proportional to 205,036.29, 282,943.67 and 120,209.85

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Solution

The fourth proportional to 205,036.29, 282,943.67 and 120,209.85 is: 165,885.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,036.29 : 282,943.67 = 120,209.85 : x
  2. Step 2: Convert to fraction form
    205,036.29/282,943.67 = 120,209.85/x
  3. Step 3: Cross multiply
    205,036.29x = 282,943.67 × 120,209.85
  4. Step 4: Simplify right side
    205,036.29x = 34,012,615,528.10
  5. Step 5: Solve for x
    x = 34,012,615,528.10/205,036.29
  6. Step 6: Final answer
    x = 165,885.83

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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.