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Finding the Fourth Proportional to 80,487.28, 120,735.74 and 21,322.78

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Solution

The fourth proportional to 80,487.28, 120,735.74 and 21,322.78 is: 31,985.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,487.28 : 120,735.74 = 21,322.78 : x
  2. Step 2: Convert to fraction form
    80,487.28/120,735.74 = 21,322.78/x
  3. Step 3: Cross multiply
    80,487.28x = 120,735.74 × 21,322.78
  4. Step 4: Simplify right side
    80,487.28x = 2,574,421,622.16
  5. Step 5: Solve for x
    x = 2,574,421,622.16/80,487.28
  6. Step 6: Final answer
    x = 31,985.45

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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.