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Finding the Fourth Proportional to 191,852.15, 287,785.81 and 71,896.56

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Solution

The fourth proportional to 191,852.15, 287,785.81 and 71,896.56 is: 107,847.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,852.15 : 287,785.81 = 71,896.56 : x
  2. Step 2: Convert to fraction form
    191,852.15/287,785.81 = 71,896.56/x
  3. Step 3: Cross multiply
    191,852.15x = 287,785.81 × 71,896.56
  4. Step 4: Simplify right side
    191,852.15x = 20,690,810,385.28
  5. Step 5: Solve for x
    x = 20,690,810,385.28/191,852.15
  6. Step 6: Final answer
    x = 107,847.69

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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.