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Finding the Fourth Proportional to 80,438.40, 120,653.28 and 21,276

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Solution

The fourth proportional to 80,438.40, 120,653.28 and 21,276 is: 31,912.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,438.40 : 120,653.28 = 21,276 : x
  2. Step 2: Convert to fraction form
    80,438.40/120,653.28 = 21,276/x
  3. Step 3: Cross multiply
    80,438.40x = 120,653.28 × 21,276
  4. Step 4: Simplify right side
    80,438.40x = 2,567,019,185.28
  5. Step 5: Solve for x
    x = 2,567,019,185.28/80,438.40
  6. Step 6: Final answer
    x = 31,912.86

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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.