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Finding the Fourth Proportional to 206,687.66, 285,232.47 and 114,804.50

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Solution

The fourth proportional to 206,687.66, 285,232.47 and 114,804.50 is: 158,432.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,687.66 : 285,232.47 = 114,804.50 : x
  2. Step 2: Convert to fraction form
    206,687.66/285,232.47 = 114,804.50/x
  3. Step 3: Cross multiply
    206,687.66x = 285,232.47 × 114,804.50
  4. Step 4: Simplify right side
    206,687.66x = 32,745,971,102.12
  5. Step 5: Solve for x
    x = 32,745,971,102.12/206,687.66
  6. Step 6: Final answer
    x = 158,432.15

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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.