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Finding the Fourth Proportional to 91,806.20, 137,741.70 and 32,643.80

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Solution

The fourth proportional to 91,806.20, 137,741.70 and 32,643.80 is: 48,977.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,806.20 : 137,741.70 = 32,643.80 : x
  2. Step 2: Convert to fraction form
    91,806.20/137,741.70 = 32,643.80/x
  3. Step 3: Cross multiply
    91,806.20x = 137,741.70 × 32,643.80
  4. Step 4: Simplify right side
    91,806.20x = 4,496,412,506.46
  5. Step 5: Solve for x
    x = 4,496,412,506.46/91,806.20
  6. Step 6: Final answer
    x = 48,977.22

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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.