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Finding the Fourth Proportional to 115,384.32, 159,256 and 75,027.84

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Solution

The fourth proportional to 115,384.32, 159,256 and 75,027.84 is: 103,555.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,384.32 : 159,256 = 75,027.84 : x
  2. Step 2: Convert to fraction form
    115,384.32/159,256 = 75,027.84/x
  3. Step 3: Cross multiply
    115,384.32x = 159,256 × 75,027.84
  4. Step 4: Simplify right side
    115,384.32x = 11,948,633,687.04
  5. Step 5: Solve for x
    x = 11,948,633,687.04/115,384.32
  6. Step 6: Final answer
    x = 103,555.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.