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Finding the Fourth Proportional to 129,665, 194,497.50 and 42,113

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Solution

The fourth proportional to 129,665, 194,497.50 and 42,113 is: 63,169.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,665 : 194,497.50 = 42,113 : x
  2. Step 2: Convert to fraction form
    129,665/194,497.50 = 42,113/x
  3. Step 3: Cross multiply
    129,665x = 194,497.50 × 42,113
  4. Step 4: Simplify right side
    129,665x = 8,190,873,217.50
  5. Step 5: Solve for x
    x = 8,190,873,217.50/129,665
  6. Step 6: Final answer
    x = 63,169.50

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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.