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Finding the Fourth Proportional to 114,991.14, 172,472.13 and 85,452.06

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Solution

The fourth proportional to 114,991.14, 172,472.13 and 85,452.06 is: 128,167.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,991.14 : 172,472.13 = 85,452.06 : x
  2. Step 2: Convert to fraction form
    114,991.14/172,472.13 = 85,452.06/x
  3. Step 3: Cross multiply
    114,991.14x = 172,472.13 × 85,452.06
  4. Step 4: Simplify right side
    114,991.14x = 14,738,098,801.09
  5. Step 5: Solve for x
    x = 14,738,098,801.09/114,991.14
  6. Step 6: Final answer
    x = 128,167.26

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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.