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Finding the Fourth Proportional to 129,625, 194,437.50 and 42,073

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Solution

The fourth proportional to 129,625, 194,437.50 and 42,073 is: 63,109.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,625 : 194,437.50 = 42,073 : x
  2. Step 2: Convert to fraction form
    129,625/194,437.50 = 42,073/x
  3. Step 3: Cross multiply
    129,625x = 194,437.50 × 42,073
  4. Step 4: Simplify right side
    129,625x = 8,180,568,937.50
  5. Step 5: Solve for x
    x = 8,180,568,937.50/129,625
  6. Step 6: Final answer
    x = 63,109.50

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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.