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Finding the Fourth Proportional to 126,438.67, 189,658.01 and 37,754.45

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Solution

The fourth proportional to 126,438.67, 189,658.01 and 37,754.45 is: 56,631.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,438.67 : 189,658.01 = 37,754.45 : x
  2. Step 2: Convert to fraction form
    126,438.67/189,658.01 = 37,754.45/x
  3. Step 3: Cross multiply
    126,438.67x = 189,658.01 × 37,754.45
  4. Step 4: Simplify right side
    126,438.67x = 7,160,434,567.42
  5. Step 5: Solve for x
    x = 7,160,434,567.42/126,438.67
  6. Step 6: Final answer
    x = 56,631.68

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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.