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Finding the Fourth Proportional to 192,169.30, 287,865.15 and 133,071.70

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Solution

The fourth proportional to 192,169.30, 287,865.15 and 133,071.70 is: 199,338.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,169.30 : 287,865.15 = 133,071.70 : x
  2. Step 2: Convert to fraction form
    192,169.30/287,865.15 = 133,071.70/x
  3. Step 3: Cross multiply
    192,169.30x = 287,865.15 × 133,071.70
  4. Step 4: Simplify right side
    192,169.30x = 38,306,704,881.26
  5. Step 5: Solve for x
    x = 38,306,704,881.26/192,169.30
  6. Step 6: Final answer
    x = 199,338.32

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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.