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Finding the Fourth Proportional to 283,602.50, 425,471.64 and 81,201.42

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Solution

The fourth proportional to 283,602.50, 425,471.64 and 81,201.42 is: 121,821.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,602.50 : 425,471.64 = 81,201.42 : x
  2. Step 2: Convert to fraction form
    283,602.50/425,471.64 = 81,201.42/x
  3. Step 3: Cross multiply
    283,602.50x = 425,471.64 × 81,201.42
  4. Step 4: Simplify right side
    283,602.50x = 34,548,901,337.73
  5. Step 5: Solve for x
    x = 34,548,901,337.73/283,602.50
  6. Step 6: Final answer
    x = 121,821.57

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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.