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Finding the Fourth Proportional to 120,064.58, 165,723.74 and 79,258.58

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Solution

The fourth proportional to 120,064.58, 165,723.74 and 79,258.58 is: 109,399.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,064.58 : 165,723.74 = 79,258.58 : x
  2. Step 2: Convert to fraction form
    120,064.58/165,723.74 = 79,258.58/x
  3. Step 3: Cross multiply
    120,064.58x = 165,723.74 × 79,258.58
  4. Step 4: Simplify right side
    120,064.58x = 13,135,027,079.78
  5. Step 5: Solve for x
    x = 13,135,027,079.78/120,064.58
  6. Step 6: Final answer
    x = 109,399.69

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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.