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Finding the Fourth Proportional to 173,872.30, 260,857.05 and 85,128.70

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Solution

The fourth proportional to 173,872.30, 260,857.05 and 85,128.70 is: 127,716.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,872.30 : 260,857.05 = 85,128.70 : x
  2. Step 2: Convert to fraction form
    173,872.30/260,857.05 = 85,128.70/x
  3. Step 3: Cross multiply
    173,872.30x = 260,857.05 × 85,128.70
  4. Step 4: Simplify right side
    173,872.30x = 22,206,421,552.34
  5. Step 5: Solve for x
    x = 22,206,421,552.34/173,872.30
  6. Step 6: Final answer
    x = 127,716.84

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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.