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Finding the Fourth Proportional to 120,068.14, 165,694.54 and 65,621.41

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Solution

The fourth proportional to 120,068.14, 165,694.54 and 65,621.41 is: 90,557.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,068.14 : 165,694.54 = 65,621.41 : x
  2. Step 2: Convert to fraction form
    120,068.14/165,694.54 = 65,621.41/x
  3. Step 3: Cross multiply
    120,068.14x = 165,694.54 × 65,621.41
  4. Step 4: Simplify right side
    120,068.14x = 10,873,108,765.81
  5. Step 5: Solve for x
    x = 10,873,108,765.81/120,068.14
  6. Step 6: Final answer
    x = 90,557.82

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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.