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Finding the Fourth Proportional to 206,842.56, 310,161.66 and 121,474.83

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Solution

The fourth proportional to 206,842.56, 310,161.66 and 121,474.83 is: 182,152.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,842.56 : 310,161.66 = 121,474.83 : x
  2. Step 2: Convert to fraction form
    206,842.56/310,161.66 = 121,474.83/x
  3. Step 3: Cross multiply
    206,842.56x = 310,161.66 × 121,474.83
  4. Step 4: Simplify right side
    206,842.56x = 37,676,834,921.02
  5. Step 5: Solve for x
    x = 37,676,834,921.02/206,842.56
  6. Step 6: Final answer
    x = 182,152.24

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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.