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Finding the Fourth Proportional to 80,462.44, 120,654.78 and 35,478.28

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Solution

The fourth proportional to 80,462.44, 120,654.78 and 35,478.28 is: 53,200.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,462.44 : 120,654.78 = 35,478.28 : x
  2. Step 2: Convert to fraction form
    80,462.44/120,654.78 = 35,478.28/x
  3. Step 3: Cross multiply
    80,462.44x = 120,654.78 × 35,478.28
  4. Step 4: Simplify right side
    80,462.44x = 4,280,624,068.18
  5. Step 5: Solve for x
    x = 4,280,624,068.18/80,462.44
  6. Step 6: Final answer
    x = 53,200.28

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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.