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Finding the Fourth Proportional to 128,860.92, 193,213.69 and 57,770.70

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Solution

The fourth proportional to 128,860.92, 193,213.69 and 57,770.70 is: 86,621.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,860.92 : 193,213.69 = 57,770.70 : x
  2. Step 2: Convert to fraction form
    128,860.92/193,213.69 = 57,770.70/x
  3. Step 3: Cross multiply
    128,860.92x = 193,213.69 × 57,770.70
  4. Step 4: Simplify right side
    128,860.92x = 11,162,089,976.46
  5. Step 5: Solve for x
    x = 11,162,089,976.46/128,860.92
  6. Step 6: Final answer
    x = 86,621.22

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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.