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Finding the Fourth Proportional to 173,872.30, 260,731.65 and 80,406.70

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Solution

The fourth proportional to 173,872.30, 260,731.65 and 80,406.70 is: 120,574.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,872.30 : 260,731.65 = 80,406.70 : x
  2. Step 2: Convert to fraction form
    173,872.30/260,731.65 = 80,406.70/x
  3. Step 3: Cross multiply
    173,872.30x = 260,731.65 × 80,406.70
  4. Step 4: Simplify right side
    173,872.30x = 20,964,571,562.06
  5. Step 5: Solve for x
    x = 20,964,571,562.06/173,872.30
  6. Step 6: Final answer
    x = 120,574.53

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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.