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Finding the Fourth Proportional to 199,692.80, 299,364.08 and 75,121.28

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Solution

The fourth proportional to 199,692.80, 299,364.08 and 75,121.28 is: 112,616.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,692.80 : 299,364.08 = 75,121.28 : x
  2. Step 2: Convert to fraction form
    199,692.80/299,364.08 = 75,121.28/x
  3. Step 3: Cross multiply
    199,692.80x = 299,364.08 × 75,121.28
  4. Step 4: Simplify right side
    199,692.80x = 22,488,612,875.62
  5. Step 5: Solve for x
    x = 22,488,612,875.62/199,692.80
  6. Step 6: Final answer
    x = 112,616.04

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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.