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Finding the Fourth Proportional to 204,874.53, 282,288.29 and 137,689.89

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Solution

The fourth proportional to 204,874.53, 282,288.29 and 137,689.89 is: 189,717.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,874.53 : 282,288.29 = 137,689.89 : x
  2. Step 2: Convert to fraction form
    204,874.53/282,288.29 = 137,689.89/x
  3. Step 3: Cross multiply
    204,874.53x = 282,288.29 × 137,689.89
  4. Step 4: Simplify right side
    204,874.53x = 38,868,242,909.94
  5. Step 5: Solve for x
    x = 38,868,242,909.94/204,874.53
  6. Step 6: Final answer
    x = 189,717.30

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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.