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Finding the Fourth Proportional to 48,489, 66,915.63 and 31,722

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Solution

The fourth proportional to 48,489, 66,915.63 and 31,722 is: 43,776.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,489 : 66,915.63 = 31,722 : x
  2. Step 2: Convert to fraction form
    48,489/66,915.63 = 31,722/x
  3. Step 3: Cross multiply
    48,489x = 66,915.63 × 31,722
  4. Step 4: Simplify right side
    48,489x = 2,122,697,614.86
  5. Step 5: Solve for x
    x = 2,122,697,614.86/48,489
  6. Step 6: Final answer
    x = 43,776.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.