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Finding the Fourth Proportional to 115,320, 159,005.28 and 81,334.08

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Solution

The fourth proportional to 115,320, 159,005.28 and 81,334.08 is: 112,144.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,320 : 159,005.28 = 81,334.08 : x
  2. Step 2: Convert to fraction form
    115,320/159,005.28 = 81,334.08/x
  3. Step 3: Cross multiply
    115,320x = 159,005.28 × 81,334.08
  4. Step 4: Simplify right side
    115,320x = 12,932,548,163.94
  5. Step 5: Solve for x
    x = 12,932,548,163.94/115,320
  6. Step 6: Final answer
    x = 112,144.89

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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.