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Finding the Fourth Proportional to 120,037.65, 179,959.98 and 82,486.46

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Solution

The fourth proportional to 120,037.65, 179,959.98 and 82,486.46 is: 123,663.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,037.65 : 179,959.98 = 82,486.46 : x
  2. Step 2: Convert to fraction form
    120,037.65/179,959.98 = 82,486.46/x
  3. Step 3: Cross multiply
    120,037.65x = 179,959.98 × 82,486.46
  4. Step 4: Simplify right side
    120,037.65x = 14,844,260,792.07
  5. Step 5: Solve for x
    x = 14,844,260,792.07/120,037.65
  6. Step 6: Final answer
    x = 123,663.37

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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.