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Finding the Fourth Proportional to 206,855.76, 310,185.20 and 94,502.72

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Solution

The fourth proportional to 206,855.76, 310,185.20 and 94,502.72 is: 141,709.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,855.76 : 310,185.20 = 94,502.72 : x
  2. Step 2: Convert to fraction form
    206,855.76/310,185.20 = 94,502.72/x
  3. Step 3: Cross multiply
    206,855.76x = 310,185.20 × 94,502.72
  4. Step 4: Simplify right side
    206,855.76x = 29,313,345,103.74
  5. Step 5: Solve for x
    x = 29,313,345,103.74/206,855.76
  6. Step 6: Final answer
    x = 141,709.11

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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.