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Finding the Fourth Proportional to 205,659.82, 308,535.85 and 72,541.18

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Solution

The fourth proportional to 205,659.82, 308,535.85 and 72,541.18 is: 108,828.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,659.82 : 308,535.85 = 72,541.18 : x
  2. Step 2: Convert to fraction form
    205,659.82/308,535.85 = 72,541.18/x
  3. Step 3: Cross multiply
    205,659.82x = 308,535.85 × 72,541.18
  4. Step 4: Simplify right side
    205,659.82x = 22,381,554,631.30
  5. Step 5: Solve for x
    x = 22,381,554,631.30/205,659.82
  6. Step 6: Final answer
    x = 108,828.04

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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.