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Finding the Fourth Proportional to 205,754.80, 283,967.76 and 115,115.80

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Solution

The fourth proportional to 205,754.80, 283,967.76 and 115,115.80 is: 158,874.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,754.80 : 283,967.76 = 115,115.80 : x
  2. Step 2: Convert to fraction form
    205,754.80/283,967.76 = 115,115.80/x
  3. Step 3: Cross multiply
    205,754.80x = 283,967.76 × 115,115.80
  4. Step 4: Simplify right side
    205,754.80x = 32,689,175,866.61
  5. Step 5: Solve for x
    x = 32,689,175,866.61/205,754.80
  6. Step 6: Final answer
    x = 158,874.43

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1.5x scale

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.