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Finding the Fourth Proportional to 100,244, 138,336.72 and 59,959.46

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Solution

The fourth proportional to 100,244, 138,336.72 and 59,959.46 is: 82,744.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,244 : 138,336.72 = 59,959.46 : x
  2. Step 2: Convert to fraction form
    100,244/138,336.72 = 59,959.46/x
  3. Step 3: Cross multiply
    100,244x = 138,336.72 × 59,959.46
  4. Step 4: Simplify right side
    100,244x = 8,294,595,029.37
  5. Step 5: Solve for x
    x = 8,294,595,029.37/100,244
  6. Step 6: Final answer
    x = 82,744.05

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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.