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Finding the Fourth Proportional to 119,049.80, 164,288.20 and 65,335.68

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Solution

The fourth proportional to 119,049.80, 164,288.20 and 65,335.68 is: 90,162.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,049.80 : 164,288.20 = 65,335.68 : x
  2. Step 2: Convert to fraction form
    119,049.80/164,288.20 = 65,335.68/x
  3. Step 3: Cross multiply
    119,049.80x = 164,288.20 × 65,335.68
  4. Step 4: Simplify right side
    119,049.80x = 10,733,880,936.30
  5. Step 5: Solve for x
    x = 10,733,880,936.30/119,049.80
  6. Step 6: Final answer
    x = 90,162.95

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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.