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Finding the Fourth Proportional to 192,178.30, 287,878.65 and 133,080.70

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Solution

The fourth proportional to 192,178.30, 287,878.65 and 133,080.70 is: 199,351.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,178.30 : 287,878.65 = 133,080.70 : x
  2. Step 2: Convert to fraction form
    192,178.30/287,878.65 = 133,080.70/x
  3. Step 3: Cross multiply
    192,178.30x = 287,878.65 × 133,080.70
  4. Step 4: Simplify right side
    192,178.30x = 38,311,092,257.06
  5. Step 5: Solve for x
    x = 38,311,092,257.06/192,178.30
  6. Step 6: Final answer
    x = 199,351.81

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1.5x scale

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.