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Finding the Fourth Proportional to 76,038.70, 113,977.86 and 31,620.73

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Solution

The fourth proportional to 76,038.70, 113,977.86 and 31,620.73 is: 47,397.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,038.70 : 113,977.86 = 31,620.73 : x
  2. Step 2: Convert to fraction form
    76,038.70/113,977.86 = 31,620.73/x
  3. Step 3: Cross multiply
    76,038.70x = 113,977.86 × 31,620.73
  4. Step 4: Simplify right side
    76,038.70x = 3,604,063,137.04
  5. Step 5: Solve for x
    x = 3,604,063,137.04/76,038.70
  6. Step 6: Final answer
    x = 47,397.75

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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.