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Finding the Fourth Proportional to 129,193.29, 193,791.47 and 34,423

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Solution

The fourth proportional to 129,193.29, 193,791.47 and 34,423 is: 51,634.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,193.29 : 193,791.47 = 34,423 : x
  2. Step 2: Convert to fraction form
    129,193.29/193,791.47 = 34,423/x
  3. Step 3: Cross multiply
    129,193.29x = 193,791.47 × 34,423
  4. Step 4: Simplify right side
    129,193.29x = 6,670,883,771.81
  5. Step 5: Solve for x
    x = 6,670,883,771.81/129,193.29
  6. Step 6: Final answer
    x = 51,634.91

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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.