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Finding the Fourth Proportional to 205,589.45, 308,348.81 and 55,841.81

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Solution

The fourth proportional to 205,589.45, 308,348.81 and 55,841.81 is: 83,753.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,589.45 : 308,348.81 = 55,841.81 : x
  2. Step 2: Convert to fraction form
    205,589.45/308,348.81 = 55,841.81/x
  3. Step 3: Cross multiply
    205,589.45x = 308,348.81 × 55,841.81
  4. Step 4: Simplify right side
    205,589.45x = 17,218,754,050.20
  5. Step 5: Solve for x
    x = 17,218,754,050.20/205,589.45
  6. Step 6: Final answer
    x = 83,753.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.