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Finding the Fourth Proportional to 84,137.80, 126,169.74 and 31,510.40

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Solution

The fourth proportional to 84,137.80, 126,169.74 and 31,510.40 is: 47,251.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,137.80 : 126,169.74 = 31,510.40 : x
  2. Step 2: Convert to fraction form
    84,137.80/126,169.74 = 31,510.40/x
  3. Step 3: Cross multiply
    84,137.80x = 126,169.74 × 31,510.40
  4. Step 4: Simplify right side
    84,137.80x = 3,975,658,975.30
  5. Step 5: Solve for x
    x = 3,975,658,975.30/84,137.80
  6. Step 6: Final answer
    x = 47,251.76

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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.