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Finding the Fourth Proportional to 271,728.65, 407,663.45 and 103,251.89

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Solution

The fourth proportional to 271,728.65, 407,663.45 and 103,251.89 is: 154,904.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,728.65 : 407,663.45 = 103,251.89 : x
  2. Step 2: Convert to fraction form
    271,728.65/407,663.45 = 103,251.89/x
  3. Step 3: Cross multiply
    271,728.65x = 407,663.45 × 103,251.89
  4. Step 4: Simplify right side
    271,728.65x = 42,092,021,696.42
  5. Step 5: Solve for x
    x = 42,092,021,696.42/271,728.65
  6. Step 6: Final answer
    x = 154,904.61

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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.