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Finding the Fourth Proportional to 117,840.20, 176,328.30 and 86,736.20

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Solution

The fourth proportional to 117,840.20, 176,328.30 and 86,736.20 is: 129,786.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,840.20 : 176,328.30 = 86,736.20 : x
  2. Step 2: Convert to fraction form
    117,840.20/176,328.30 = 86,736.20/x
  3. Step 3: Cross multiply
    117,840.20x = 176,328.30 × 86,736.20
  4. Step 4: Simplify right side
    117,840.20x = 15,294,046,694.46
  5. Step 5: Solve for x
    x = 15,294,046,694.46/117,840.20
  6. Step 6: Final answer
    x = 129,786.33

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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.