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Finding the Fourth Proportional to 114,763.78, 171,617.19 and 109,165.06

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Solution

The fourth proportional to 114,763.78, 171,617.19 and 109,165.06 is: 163,244.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,763.78 : 171,617.19 = 109,165.06 : x
  2. Step 2: Convert to fraction form
    114,763.78/171,617.19 = 109,165.06/x
  3. Step 3: Cross multiply
    114,763.78x = 171,617.19 × 109,165.06
  4. Step 4: Simplify right side
    114,763.78x = 18,734,600,843.38
  5. Step 5: Solve for x
    x = 18,734,600,843.38/114,763.78
  6. Step 6: Final answer
    x = 163,244.89

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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.