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Finding the Fourth Proportional to 129,763.89, 194,424.36 and 70,493.42

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Solution

The fourth proportional to 129,763.89, 194,424.36 and 70,493.42 is: 105,619.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,763.89 : 194,424.36 = 70,493.42 : x
  2. Step 2: Convert to fraction form
    129,763.89/194,424.36 = 70,493.42/x
  3. Step 3: Cross multiply
    129,763.89x = 194,424.36 × 70,493.42
  4. Step 4: Simplify right side
    129,763.89x = 13,705,638,067.71
  5. Step 5: Solve for x
    x = 13,705,638,067.71/129,763.89
  6. Step 6: Final answer
    x = 105,619.82

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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.