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Finding the Fourth Proportional to 206,569.80, 309,854.70 and 112,091.40

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Solution

The fourth proportional to 206,569.80, 309,854.70 and 112,091.40 is: 168,137.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,569.80 : 309,854.70 = 112,091.40 : x
  2. Step 2: Convert to fraction form
    206,569.80/309,854.70 = 112,091.40/x
  3. Step 3: Cross multiply
    206,569.80x = 309,854.70 × 112,091.40
  4. Step 4: Simplify right side
    206,569.80x = 34,732,047,119.58
  5. Step 5: Solve for x
    x = 34,732,047,119.58/206,569.80
  6. Step 6: Final answer
    x = 168,137.10

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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.