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Finding the Fourth Proportional to 110,105.20, 164,866.20 and 86,777.20

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Solution

The fourth proportional to 110,105.20, 164,866.20 and 86,777.20 is: 129,935.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,105.20 : 164,866.20 = 86,777.20 : x
  2. Step 2: Convert to fraction form
    110,105.20/164,866.20 = 86,777.20/x
  3. Step 3: Cross multiply
    110,105.20x = 164,866.20 × 86,777.20
  4. Step 4: Simplify right side
    110,105.20x = 14,306,627,210.64
  5. Step 5: Solve for x
    x = 14,306,627,210.64/110,105.20
  6. Step 6: Final answer
    x = 129,935.98

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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.