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Finding the Fourth Proportional to 283,778.83, 425,735.07 and 84,100.87

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Solution

The fourth proportional to 283,778.83, 425,735.07 and 84,100.87 is: 126,171.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,778.83 : 425,735.07 = 84,100.87 : x
  2. Step 2: Convert to fraction form
    283,778.83/425,735.07 = 84,100.87/x
  3. Step 3: Cross multiply
    283,778.83x = 425,735.07 × 84,100.87
  4. Step 4: Simplify right side
    283,778.83x = 35,804,689,776.51
  5. Step 5: Solve for x
    x = 35,804,689,776.51/283,778.83
  6. Step 6: Final answer
    x = 126,171.11

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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.