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Finding the Fourth Proportional to 205,549.31, 308,098.76 and 105,714.78

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Solution

The fourth proportional to 205,549.31, 308,098.76 and 105,714.78 is: 158,456.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,549.31 : 308,098.76 = 105,714.78 : x
  2. Step 2: Convert to fraction form
    205,549.31/308,098.76 = 105,714.78/x
  3. Step 3: Cross multiply
    205,549.31x = 308,098.76 × 105,714.78
  4. Step 4: Simplify right side
    205,549.31x = 32,570,592,103.10
  5. Step 5: Solve for x
    x = 32,570,592,103.10/205,549.31
  6. Step 6: Final answer
    x = 158,456.35

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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.