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Finding the Fourth Proportional to 126,405.56, 189,663.70 and 59,893.16

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Solution

The fourth proportional to 126,405.56, 189,663.70 and 59,893.16 is: 89,865.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,405.56 : 189,663.70 = 59,893.16 : x
  2. Step 2: Convert to fraction form
    126,405.56/189,663.70 = 59,893.16/x
  3. Step 3: Cross multiply
    126,405.56x = 189,663.70 × 59,893.16
  4. Step 4: Simplify right side
    126,405.56x = 11,359,558,330.29
  5. Step 5: Solve for x
    x = 11,359,558,330.29/126,405.56
  6. Step 6: Final answer
    x = 89,865.97

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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.