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Finding the Fourth Proportional to 63,540.72, 95,311.80 and 21,978

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Solution

The fourth proportional to 63,540.72, 95,311.80 and 21,978 is: 32,967.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,540.72 : 95,311.80 = 21,978 : x
  2. Step 2: Convert to fraction form
    63,540.72/95,311.80 = 21,978/x
  3. Step 3: Cross multiply
    63,540.72x = 95,311.80 × 21,978
  4. Step 4: Simplify right side
    63,540.72x = 2,094,762,740.40
  5. Step 5: Solve for x
    x = 2,094,762,740.40/63,540.72
  6. Step 6: Final answer
    x = 32,967.25

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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.