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Finding the Fourth Proportional to 67,137.90, 100,706.85 and 31,970.94

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Solution

The fourth proportional to 67,137.90, 100,706.85 and 31,970.94 is: 47,956.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,137.90 : 100,706.85 = 31,970.94 : x
  2. Step 2: Convert to fraction form
    67,137.90/100,706.85 = 31,970.94/x
  3. Step 3: Cross multiply
    67,137.90x = 100,706.85 × 31,970.94
  4. Step 4: Simplify right side
    67,137.90x = 3,219,692,658.94
  5. Step 5: Solve for x
    x = 3,219,692,658.94/67,137.90
  6. Step 6: Final answer
    x = 47,956.41

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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.