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Finding the Fourth Proportional to 133,494.20, 199,949.70 and 103,678.10

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Solution

The fourth proportional to 133,494.20, 199,949.70 and 103,678.10 is: 155,290.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,494.20 : 199,949.70 = 103,678.10 : x
  2. Step 2: Convert to fraction form
    133,494.20/199,949.70 = 103,678.10/x
  3. Step 3: Cross multiply
    133,494.20x = 199,949.70 × 103,678.10
  4. Step 4: Simplify right side
    133,494.20x = 20,730,404,991.57
  5. Step 5: Solve for x
    x = 20,730,404,991.57/133,494.20
  6. Step 6: Final answer
    x = 155,290.68

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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.