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Finding the Fourth Proportional to 137,082.57, 205,640.25 and 48,317.70

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Solution

The fourth proportional to 137,082.57, 205,640.25 and 48,317.70 is: 72,482.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,082.57 : 205,640.25 = 48,317.70 : x
  2. Step 2: Convert to fraction form
    137,082.57/205,640.25 = 48,317.70/x
  3. Step 3: Cross multiply
    137,082.57x = 205,640.25 × 48,317.70
  4. Step 4: Simplify right side
    137,082.57x = 9,936,063,907.43
  5. Step 5: Solve for x
    x = 9,936,063,907.43/137,082.57
  6. Step 6: Final answer
    x = 72,482.33

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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.