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Finding the Fourth Proportional to 206,411.10, 309,616.65 and 101,435.10

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Solution

The fourth proportional to 206,411.10, 309,616.65 and 101,435.10 is: 152,152.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,411.10 : 309,616.65 = 101,435.10 : x
  2. Step 2: Convert to fraction form
    206,411.10/309,616.65 = 101,435.10/x
  3. Step 3: Cross multiply
    206,411.10x = 309,616.65 × 101,435.10
  4. Step 4: Simplify right side
    206,411.10x = 31,405,995,854.42
  5. Step 5: Solve for x
    x = 31,405,995,854.42/206,411.10
  6. Step 6: Final answer
    x = 152,152.65

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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.