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Finding the Fourth Proportional to 129,717, 194,575.50 and 31,221

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Solution

The fourth proportional to 129,717, 194,575.50 and 31,221 is: 46,831.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,717 : 194,575.50 = 31,221 : x
  2. Step 2: Convert to fraction form
    129,717/194,575.50 = 31,221/x
  3. Step 3: Cross multiply
    129,717x = 194,575.50 × 31,221
  4. Step 4: Simplify right side
    129,717x = 6,074,841,685.50
  5. Step 5: Solve for x
    x = 6,074,841,685.50/129,717
  6. Step 6: Final answer
    x = 46,831.50

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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.