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Finding the Fourth Proportional to 204,538.64, 282,350.41 and 137,509.52

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Solution

The fourth proportional to 204,538.64, 282,350.41 and 137,509.52 is: 189,821.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,538.64 : 282,350.41 = 137,509.52 : x
  2. Step 2: Convert to fraction form
    204,538.64/282,350.41 = 137,509.52/x
  3. Step 3: Cross multiply
    204,538.64x = 282,350.41 × 137,509.52
  4. Step 4: Simplify right side
    204,538.64x = 38,825,867,595.38
  5. Step 5: Solve for x
    x = 38,825,867,595.38/204,538.64
  6. Step 6: Final answer
    x = 189,821.68

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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.