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Finding the Fourth Proportional to 61,376.32, 91,989 and 31,777.24

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Solution

The fourth proportional to 61,376.32, 91,989 and 31,777.24 is: 47,626.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,376.32 : 91,989 = 31,777.24 : x
  2. Step 2: Convert to fraction form
    61,376.32/91,989 = 31,777.24/x
  3. Step 3: Cross multiply
    61,376.32x = 91,989 × 31,777.24
  4. Step 4: Simplify right side
    61,376.32x = 2,923,156,530.36
  5. Step 5: Solve for x
    x = 2,923,156,530.36/61,376.32
  6. Step 6: Final answer
    x = 47,626.78

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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.