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Finding the Fourth Proportional to 126,679.82, 189,956 and 42,410.66

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Solution

The fourth proportional to 126,679.82, 189,956 and 42,410.66 is: 63,594.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,679.82 : 189,956 = 42,410.66 : x
  2. Step 2: Convert to fraction form
    126,679.82/189,956 = 42,410.66/x
  3. Step 3: Cross multiply
    126,679.82x = 189,956 × 42,410.66
  4. Step 4: Simplify right side
    126,679.82x = 8,056,159,330.96
  5. Step 5: Solve for x
    x = 8,056,159,330.96/126,679.82
  6. Step 6: Final answer
    x = 63,594.65

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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.