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Finding the Fourth Proportional to 111,328.78, 166,716.30 and 77,892.31

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Solution

The fourth proportional to 111,328.78, 166,716.30 and 77,892.31 is: 116,644.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,328.78 : 166,716.30 = 77,892.31 : x
  2. Step 2: Convert to fraction form
    111,328.78/166,716.30 = 77,892.31/x
  3. Step 3: Cross multiply
    111,328.78x = 166,716.30 × 77,892.31
  4. Step 4: Simplify right side
    111,328.78x = 12,985,917,721.65
  5. Step 5: Solve for x
    x = 12,985,917,721.65/111,328.78
  6. Step 6: Final answer
    x = 116,644.75

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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.