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Finding the Fourth Proportional to 189,207.78, 283,657.77 and 70,812.78

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Solution

The fourth proportional to 189,207.78, 283,657.77 and 70,812.78 is: 106,161.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,207.78 : 283,657.77 = 70,812.78 : x
  2. Step 2: Convert to fraction form
    189,207.78/283,657.77 = 70,812.78/x
  3. Step 3: Cross multiply
    189,207.78x = 283,657.77 × 70,812.78
  4. Step 4: Simplify right side
    189,207.78x = 20,086,595,262.30
  5. Step 5: Solve for x
    x = 20,086,595,262.30/189,207.78
  6. Step 6: Final answer
    x = 106,161.57

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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.