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Finding the Fourth Proportional to 74,209.80, 111,314.70 and 29,813.70

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Solution

The fourth proportional to 74,209.80, 111,314.70 and 29,813.70 is: 44,720.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,209.80 : 111,314.70 = 29,813.70 : x
  2. Step 2: Convert to fraction form
    74,209.80/111,314.70 = 29,813.70/x
  3. Step 3: Cross multiply
    74,209.80x = 111,314.70 × 29,813.70
  4. Step 4: Simplify right side
    74,209.80x = 3,318,703,071.39
  5. Step 5: Solve for x
    x = 3,318,703,071.39/74,209.80
  6. Step 6: Final answer
    x = 44,720.55

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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.