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Finding the Fourth Proportional to 80,477.64, 120,677.58 and 33,717.96

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Solution

The fourth proportional to 80,477.64, 120,677.58 and 33,717.96 is: 50,560.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,477.64 : 120,677.58 = 33,717.96 : x
  2. Step 2: Convert to fraction form
    80,477.64/120,677.58 = 33,717.96/x
  3. Step 3: Cross multiply
    80,477.64x = 120,677.58 × 33,717.96
  4. Step 4: Simplify right side
    80,477.64x = 4,069,001,815.34
  5. Step 5: Solve for x
    x = 4,069,001,815.34/80,477.64
  6. Step 6: Final answer
    x = 50,560.65

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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.