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Finding the Fourth Proportional to 129,484, 194,226.06 and 35,990.56

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Solution

The fourth proportional to 129,484, 194,226.06 and 35,990.56 is: 53,985.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,484 : 194,226.06 = 35,990.56 : x
  2. Step 2: Convert to fraction form
    129,484/194,226.06 = 35,990.56/x
  3. Step 3: Cross multiply
    129,484x = 194,226.06 × 35,990.56
  4. Step 4: Simplify right side
    129,484x = 6,990,304,665.99
  5. Step 5: Solve for x
    x = 6,990,304,665.99/129,484
  6. Step 6: Final answer
    x = 53,985.86

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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.