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Finding the Fourth Proportional to 192,098.70, 287,780.85 and 103,322.70

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Solution

The fourth proportional to 192,098.70, 287,780.85 and 103,322.70 is: 154,786.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,098.70 : 287,780.85 = 103,322.70 : x
  2. Step 2: Convert to fraction form
    192,098.70/287,780.85 = 103,322.70/x
  3. Step 3: Cross multiply
    192,098.70x = 287,780.85 × 103,322.70
  4. Step 4: Simplify right side
    192,098.70x = 29,734,294,430.30
  5. Step 5: Solve for x
    x = 29,734,294,430.30/192,098.70
  6. Step 6: Final answer
    x = 154,786.55

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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.