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Finding the Fourth Proportional to 80,652.78, 120,978.90 and 20,681.19

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Solution

The fourth proportional to 80,652.78, 120,978.90 and 20,681.19 is: 31,021.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,652.78 : 120,978.90 = 20,681.19 : x
  2. Step 2: Convert to fraction form
    80,652.78/120,978.90 = 20,681.19/x
  3. Step 3: Cross multiply
    80,652.78x = 120,978.90 × 20,681.19
  4. Step 4: Simplify right side
    80,652.78x = 2,501,987,616.89
  5. Step 5: Solve for x
    x = 2,501,987,616.89/80,652.78
  6. Step 6: Final answer
    x = 31,021.72

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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.