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Finding the Fourth Proportional to 206,278.68, 309,705.45 and 106,510.86

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Solution

The fourth proportional to 206,278.68, 309,705.45 and 106,510.86 is: 159,914.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,278.68 : 309,705.45 = 106,510.86 : x
  2. Step 2: Convert to fraction form
    206,278.68/309,705.45 = 106,510.86/x
  3. Step 3: Cross multiply
    206,278.68x = 309,705.45 × 106,510.86
  4. Step 4: Simplify right side
    206,278.68x = 32,986,993,826.19
  5. Step 5: Solve for x
    x = 32,986,993,826.19/206,278.68
  6. Step 6: Final answer
    x = 159,914.70

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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.