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Finding the Fourth Proportional to 80,311.84, 120,458.64 and 21,152.14

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Solution

The fourth proportional to 80,311.84, 120,458.64 and 21,152.14 is: 31,725.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,311.84 : 120,458.64 = 21,152.14 : x
  2. Step 2: Convert to fraction form
    80,311.84/120,458.64 = 21,152.14/x
  3. Step 3: Cross multiply
    80,311.84x = 120,458.64 × 21,152.14
  4. Step 4: Simplify right side
    80,311.84x = 2,547,957,795.66
  5. Step 5: Solve for x
    x = 2,547,957,795.66/80,311.84
  6. Step 6: Final answer
    x = 31,725.81

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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.