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Finding the Fourth Proportional to 129,811.70, 194,772.23 and 70,689.80

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Solution

The fourth proportional to 129,811.70, 194,772.23 and 70,689.80 is: 106,064.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,811.70 : 194,772.23 = 70,689.80 : x
  2. Step 2: Convert to fraction form
    129,811.70/194,772.23 = 70,689.80/x
  3. Step 3: Cross multiply
    129,811.70x = 194,772.23 × 70,689.80
  4. Step 4: Simplify right side
    129,811.70x = 13,768,409,984.25
  5. Step 5: Solve for x
    x = 13,768,409,984.25/129,811.70
  6. Step 6: Final answer
    x = 106,064.48

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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.