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Finding the Fourth Proportional to 200,769.70, 300,952.05 and 74,328.70

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Solution

The fourth proportional to 200,769.70, 300,952.05 and 74,328.70 is: 111,418.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,769.70 : 300,952.05 = 74,328.70 : x
  2. Step 2: Convert to fraction form
    200,769.70/300,952.05 = 74,328.70/x
  3. Step 3: Cross multiply
    200,769.70x = 300,952.05 × 74,328.70
  4. Step 4: Simplify right side
    200,769.70x = 22,369,374,638.84
  5. Step 5: Solve for x
    x = 22,369,374,638.84/200,769.70
  6. Step 6: Final answer
    x = 111,418.08

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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.