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Finding the Fourth Proportional to 205,047.12, 282,965.24 and 120,164.28

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Solution

The fourth proportional to 205,047.12, 282,965.24 and 120,164.28 is: 165,826.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,047.12 : 282,965.24 = 120,164.28 : x
  2. Step 2: Convert to fraction form
    205,047.12/282,965.24 = 120,164.28/x
  3. Step 3: Cross multiply
    205,047.12x = 282,965.24 × 120,164.28
  4. Step 4: Simplify right side
    205,047.12x = 34,002,314,329.63
  5. Step 5: Solve for x
    x = 34,002,314,329.63/205,047.12
  6. Step 6: Final answer
    x = 165,826.83

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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.