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Finding the Fourth Proportional to 42,785, 64,203.42 and 18,161

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Solution

The fourth proportional to 42,785, 64,203.42 and 18,161 is: 27,252.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,785 : 64,203.42 = 18,161 : x
  2. Step 2: Convert to fraction form
    42,785/64,203.42 = 18,161/x
  3. Step 3: Cross multiply
    42,785x = 64,203.42 × 18,161
  4. Step 4: Simplify right side
    42,785x = 1,165,998,310.62
  5. Step 5: Solve for x
    x = 1,165,998,310.62/42,785
  6. Step 6: Final answer
    x = 27,252.50

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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.