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Finding the Fourth Proportional to 271,490.88, 407,141.76 and 111,521.28

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Solution

The fourth proportional to 271,490.88, 407,141.76 and 111,521.28 is: 167,243.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,490.88 : 407,141.76 = 111,521.28 : x
  2. Step 2: Convert to fraction form
    271,490.88/407,141.76 = 111,521.28/x
  3. Step 3: Cross multiply
    271,490.88x = 407,141.76 × 111,521.28
  4. Step 4: Simplify right side
    271,490.88x = 45,404,970,216.65
  5. Step 5: Solve for x
    x = 45,404,970,216.65/271,490.88
  6. Step 6: Final answer
    x = 167,243.08

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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.