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Finding the Fourth Proportional to 206,982.59, 310,179.85 and 159,417.77

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Solution

The fourth proportional to 206,982.59, 310,179.85 and 159,417.77 is: 238,900.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,982.59 : 310,179.85 = 159,417.77 : x
  2. Step 2: Convert to fraction form
    206,982.59/310,179.85 = 159,417.77/x
  3. Step 3: Cross multiply
    206,982.59x = 310,179.85 × 159,417.77
  4. Step 4: Simplify right side
    206,982.59x = 49,448,178,036.49
  5. Step 5: Solve for x
    x = 49,448,178,036.49/206,982.59
  6. Step 6: Final answer
    x = 238,900.19

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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.