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Finding the Fourth Proportional to 43,915.78, 65,877.02 and 21,723.20

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Solution

The fourth proportional to 43,915.78, 65,877.02 and 21,723.20 is: 32,586.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,915.78 : 65,877.02 = 21,723.20 : x
  2. Step 2: Convert to fraction form
    43,915.78/65,877.02 = 21,723.20/x
  3. Step 3: Cross multiply
    43,915.78x = 65,877.02 × 21,723.20
  4. Step 4: Simplify right side
    43,915.78x = 1,431,059,680.86
  5. Step 5: Solve for x
    x = 1,431,059,680.86/43,915.78
  6. Step 6: Final answer
    x = 32,586.46

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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.