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Finding the Fourth Proportional to 200,619.30, 300,716.85 and 74,178.35

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Solution

The fourth proportional to 200,619.30, 300,716.85 and 74,178.35 is: 111,189.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,619.30 : 300,716.85 = 74,178.35 : x
  2. Step 2: Convert to fraction form
    200,619.30/300,716.85 = 74,178.35/x
  3. Step 3: Cross multiply
    200,619.30x = 300,716.85 × 74,178.35
  4. Step 4: Simplify right side
    200,619.30x = 22,306,679,750.20
  5. Step 5: Solve for x
    x = 22,306,679,750.20/200,619.30
  6. Step 6: Final answer
    x = 111,189.10

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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.