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Finding the Fourth Proportional to 110,005.20, 164,716.20 and 86,677.20

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Solution

The fourth proportional to 110,005.20, 164,716.20 and 86,677.20 is: 129,786.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,005.20 : 164,716.20 = 86,677.20 : x
  2. Step 2: Convert to fraction form
    110,005.20/164,716.20 = 86,677.20/x
  3. Step 3: Cross multiply
    110,005.20x = 164,716.20 × 86,677.20
  4. Step 4: Simplify right side
    110,005.20x = 14,277,139,010.64
  5. Step 5: Solve for x
    x = 14,277,139,010.64/110,005.20
  6. Step 6: Final answer
    x = 129,786.04

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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.