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Finding the Fourth Proportional to 191,000.70, 286,500.69 and 50,759.31

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Solution

The fourth proportional to 191,000.70, 286,500.69 and 50,759.31 is: 76,138.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,000.70 : 286,500.69 = 50,759.31 : x
  2. Step 2: Convert to fraction form
    191,000.70/286,500.69 = 50,759.31/x
  3. Step 3: Cross multiply
    191,000.70x = 286,500.69 × 50,759.31
  4. Step 4: Simplify right side
    191,000.70x = 14,542,577,338.92
  5. Step 5: Solve for x
    x = 14,542,577,338.92/191,000.70
  6. Step 6: Final answer
    x = 76,138.87

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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.