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Finding the Fourth Proportional to 206,799.40, 310,490.70 and 128,067.40

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Solution

The fourth proportional to 206,799.40, 310,490.70 and 128,067.40 is: 192,281.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,799.40 : 310,490.70 = 128,067.40 : x
  2. Step 2: Convert to fraction form
    206,799.40/310,490.70 = 128,067.40/x
  3. Step 3: Cross multiply
    206,799.40x = 310,490.70 × 128,067.40
  4. Step 4: Simplify right side
    206,799.40x = 39,763,736,673.18
  5. Step 5: Solve for x
    x = 39,763,736,673.18/206,799.40
  6. Step 6: Final answer
    x = 192,281.68

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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.