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Finding the Fourth Proportional to 61,123.20, 91,684.80 and 55,218.30

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Solution

The fourth proportional to 61,123.20, 91,684.80 and 55,218.30 is: 82,827.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,123.20 : 91,684.80 = 55,218.30 : x
  2. Step 2: Convert to fraction form
    61,123.20/91,684.80 = 55,218.30/x
  3. Step 3: Cross multiply
    61,123.20x = 91,684.80 × 55,218.30
  4. Step 4: Simplify right side
    61,123.20x = 5,062,678,791.84
  5. Step 5: Solve for x
    x = 5,062,678,791.84/61,123.20
  6. Step 6: Final answer
    x = 82,827.45

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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.