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Finding the Fourth Proportional to 129,371, 194,056.50 and 35,876.75

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Solution

The fourth proportional to 129,371, 194,056.50 and 35,876.75 is: 53,815.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,371 : 194,056.50 = 35,876.75 : x
  2. Step 2: Convert to fraction form
    129,371/194,056.50 = 35,876.75/x
  3. Step 3: Cross multiply
    129,371x = 194,056.50 × 35,876.75
  4. Step 4: Simplify right side
    129,371x = 6,962,116,536.38
  5. Step 5: Solve for x
    x = 6,962,116,536.38/129,371
  6. Step 6: Final answer
    x = 53,815.13

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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.