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Finding the Fourth Proportional to 204,554, 282,288.84 and 115,130

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Solution

The fourth proportional to 204,554, 282,288.84 and 115,130 is: 158,881.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,554 : 282,288.84 = 115,130 : x
  2. Step 2: Convert to fraction form
    204,554/282,288.84 = 115,130/x
  3. Step 3: Cross multiply
    204,554x = 282,288.84 × 115,130
  4. Step 4: Simplify right side
    204,554x = 32,499,914,149.20
  5. Step 5: Solve for x
    x = 32,499,914,149.20/204,554
  6. Step 6: Final answer
    x = 158,881.83

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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.