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Finding the Fourth Proportional to 129,713, 194,569.56 and 31,217

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Solution

The fourth proportional to 129,713, 194,569.56 and 31,217 is: 46,825.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,713 : 194,569.56 = 31,217 : x
  2. Step 2: Convert to fraction form
    129,713/194,569.56 = 31,217/x
  3. Step 3: Cross multiply
    129,713x = 194,569.56 × 31,217
  4. Step 4: Simplify right side
    129,713x = 6,073,877,954.52
  5. Step 5: Solve for x
    x = 6,073,877,954.52/129,713
  6. Step 6: Final answer
    x = 46,825.51

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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.