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Finding the Fourth Proportional to 101,542.56, 152,330.22 and 31,421.86

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Solution

The fourth proportional to 101,542.56, 152,330.22 and 31,421.86 is: 47,137.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,542.56 : 152,330.22 = 31,421.86 : x
  2. Step 2: Convert to fraction form
    101,542.56/152,330.22 = 31,421.86/x
  3. Step 3: Cross multiply
    101,542.56x = 152,330.22 × 31,421.86
  4. Step 4: Simplify right side
    101,542.56x = 4,786,498,846.61
  5. Step 5: Solve for x
    x = 4,786,498,846.61/101,542.56
  6. Step 6: Final answer
    x = 47,137.86

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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.