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Finding the Fourth Proportional to 76,040.70, 113,980.86 and 31,622.74

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Solution

The fourth proportional to 76,040.70, 113,980.86 and 31,622.74 is: 47,400.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,040.70 : 113,980.86 = 31,622.74 : x
  2. Step 2: Convert to fraction form
    76,040.70/113,980.86 = 31,622.74/x
  3. Step 3: Cross multiply
    76,040.70x = 113,980.86 × 31,622.74
  4. Step 4: Simplify right side
    76,040.70x = 3,604,387,100.76
  5. Step 5: Solve for x
    x = 3,604,387,100.76/76,040.70
  6. Step 6: Final answer
    x = 47,400.76

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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.