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Finding the Fourth Proportional to 206,952.19, 285,617.71 and 115,080.65

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Solution

The fourth proportional to 206,952.19, 285,617.71 and 115,080.65 is: 158,824.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,952.19 : 285,617.71 = 115,080.65 : x
  2. Step 2: Convert to fraction form
    206,952.19/285,617.71 = 115,080.65/x
  3. Step 3: Cross multiply
    206,952.19x = 285,617.71 × 115,080.65
  4. Step 4: Simplify right side
    206,952.19x = 32,869,071,718.31
  5. Step 5: Solve for x
    x = 32,869,071,718.31/206,952.19
  6. Step 6: Final answer
    x = 158,824.47

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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.