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Finding the Fourth Proportional to 91,716.32, 137,583.90 and 31,744.68

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Solution

The fourth proportional to 91,716.32, 137,583.90 and 31,744.68 is: 47,620.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,716.32 : 137,583.90 = 31,744.68 : x
  2. Step 2: Convert to fraction form
    91,716.32/137,583.90 = 31,744.68/x
  3. Step 3: Cross multiply
    91,716.32x = 137,583.90 × 31,744.68
  4. Step 4: Simplify right side
    91,716.32x = 4,367,556,878.65
  5. Step 5: Solve for x
    x = 4,367,556,878.65/91,716.32
  6. Step 6: Final answer
    x = 47,620.28

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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.