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Finding the Fourth Proportional to 206,616.86, 310,044.95 and 86,663.15

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Solution

The fourth proportional to 206,616.86, 310,044.95 and 86,663.15 is: 130,044.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,616.86 : 310,044.95 = 86,663.15 : x
  2. Step 2: Convert to fraction form
    206,616.86/310,044.95 = 86,663.15/x
  3. Step 3: Cross multiply
    206,616.86x = 310,044.95 × 86,663.15
  4. Step 4: Simplify right side
    206,616.86x = 26,869,470,675.03
  5. Step 5: Solve for x
    x = 26,869,470,675.03/206,616.86
  6. Step 6: Final answer
    x = 130,044.91

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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.