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Finding the Fourth Proportional to 206,950.95, 285,615.98 and 115,079.39

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Solution

The fourth proportional to 206,950.95, 285,615.98 and 115,079.39 is: 158,822.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,950.95 : 285,615.98 = 115,079.39 : x
  2. Step 2: Convert to fraction form
    206,950.95/285,615.98 = 115,079.39/x
  3. Step 3: Cross multiply
    206,950.95x = 285,615.98 × 115,079.39
  4. Step 4: Simplify right side
    206,950.95x = 32,868,512,752.65
  5. Step 5: Solve for x
    x = 32,868,512,752.65/206,950.95
  6. Step 6: Final answer
    x = 158,822.72

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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.