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Finding the Fourth Proportional to 206,589.42, 310,015.20 and 88,261.65

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Solution

The fourth proportional to 206,589.42, 310,015.20 and 88,261.65 is: 132,448.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,589.42 : 310,015.20 = 88,261.65 : x
  2. Step 2: Convert to fraction form
    206,589.42/310,015.20 = 88,261.65/x
  3. Step 3: Cross multiply
    206,589.42x = 310,015.20 × 88,261.65
  4. Step 4: Simplify right side
    206,589.42x = 27,362,453,077.08
  5. Step 5: Solve for x
    x = 27,362,453,077.08/206,589.42
  6. Step 6: Final answer
    x = 132,448.47

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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.