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Finding the Fourth Proportional to 61,121.40, 91,827.90 and 54,706.20

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Solution

The fourth proportional to 61,121.40, 91,827.90 and 54,706.20 is: 82,189.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,121.40 : 91,827.90 = 54,706.20 : x
  2. Step 2: Convert to fraction form
    61,121.40/91,827.90 = 54,706.20/x
  3. Step 3: Cross multiply
    61,121.40x = 91,827.90 × 54,706.20
  4. Step 4: Simplify right side
    61,121.40x = 5,023,555,462.98
  5. Step 5: Solve for x
    x = 5,023,555,462.98/61,121.40
  6. Step 6: Final answer
    x = 82,189.80

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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.