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Finding the Fourth Proportional to 110,938.80, 166,294.80 and 54,692.40

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Solution

The fourth proportional to 110,938.80, 166,294.80 and 54,692.40 is: 81,982.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,938.80 : 166,294.80 = 54,692.40 : x
  2. Step 2: Convert to fraction form
    110,938.80/166,294.80 = 54,692.40/x
  3. Step 3: Cross multiply
    110,938.80x = 166,294.80 × 54,692.40
  4. Step 4: Simplify right side
    110,938.80x = 9,095,061,719.52
  5. Step 5: Solve for x
    x = 9,095,061,719.52/110,938.80
  6. Step 6: Final answer
    x = 81,982.69

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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.