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Finding the Fourth Proportional to 189,862, 262,014.12 and 122,910.64

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Solution

The fourth proportional to 189,862, 262,014.12 and 122,910.64 is: 169,619.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,862 : 262,014.12 = 122,910.64 : x
  2. Step 2: Convert to fraction form
    189,862/262,014.12 = 122,910.64/x
  3. Step 3: Cross multiply
    189,862x = 262,014.12 × 122,910.64
  4. Step 4: Simplify right side
    189,862x = 32,204,323,178.24
  5. Step 5: Solve for x
    x = 32,204,323,178.24/189,862
  6. Step 6: Final answer
    x = 169,619.64

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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.