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Finding the Fourth Proportional to 129,450.70, 194,111.11 and 75,432.88

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Solution

The fourth proportional to 129,450.70, 194,111.11 and 75,432.88 is: 113,111.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,450.70 : 194,111.11 = 75,432.88 : x
  2. Step 2: Convert to fraction form
    129,450.70/194,111.11 = 75,432.88/x
  3. Step 3: Cross multiply
    129,450.70x = 194,111.11 × 75,432.88
  4. Step 4: Simplify right side
    129,450.70x = 14,642,358,719.58
  5. Step 5: Solve for x
    x = 14,642,358,719.58/129,450.70
  6. Step 6: Final answer
    x = 113,111.47

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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.