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Finding the Fourth Proportional to 111,229.68, 166,770.70 and 77,990.02

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Solution

The fourth proportional to 111,229.68, 166,770.70 and 77,990.02 is: 116,933.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,229.68 : 166,770.70 = 77,990.02 : x
  2. Step 2: Convert to fraction form
    111,229.68/166,770.70 = 77,990.02/x
  3. Step 3: Cross multiply
    111,229.68x = 166,770.70 × 77,990.02
  4. Step 4: Simplify right side
    111,229.68x = 13,006,450,228.41
  5. Step 5: Solve for x
    x = 13,006,450,228.41/111,229.68
  6. Step 6: Final answer
    x = 116,933.27

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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.