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Finding the Fourth Proportional to 61,220.10, 91,847.28 and 21,781.20

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Solution

The fourth proportional to 61,220.10, 91,847.28 and 21,781.20 is: 32,677.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,220.10 : 91,847.28 = 21,781.20 : x
  2. Step 2: Convert to fraction form
    61,220.10/91,847.28 = 21,781.20/x
  3. Step 3: Cross multiply
    61,220.10x = 91,847.28 × 21,781.20
  4. Step 4: Simplify right side
    61,220.10x = 2,000,543,975.14
  5. Step 5: Solve for x
    x = 2,000,543,975.14/61,220.10
  6. Step 6: Final answer
    x = 32,677.89

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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.