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Finding the Fourth Proportional to 110,770.70, 152,802 and 72,591.83

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Solution

The fourth proportional to 110,770.70, 152,802 and 72,591.83 is: 100,136.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,770.70 : 152,802 = 72,591.83 : x
  2. Step 2: Convert to fraction form
    110,770.70/152,802 = 72,591.83/x
  3. Step 3: Cross multiply
    110,770.70x = 152,802 × 72,591.83
  4. Step 4: Simplify right side
    110,770.70x = 11,092,176,043.65
  5. Step 5: Solve for x
    x = 11,092,176,043.65/110,770.70
  6. Step 6: Final answer
    x = 100,136.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.