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Finding the Fourth Proportional to 91,804.20, 137,738.70 and 32,641.80

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Solution

The fourth proportional to 91,804.20, 137,738.70 and 32,641.80 is: 48,974.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,804.20 : 137,738.70 = 32,641.80 : x
  2. Step 2: Convert to fraction form
    91,804.20/137,738.70 = 32,641.80/x
  3. Step 3: Cross multiply
    91,804.20x = 137,738.70 × 32,641.80
  4. Step 4: Simplify right side
    91,804.20x = 4,496,039,097.66
  5. Step 5: Solve for x
    x = 4,496,039,097.66/91,804.20
  6. Step 6: Final answer
    x = 48,974.22

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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.