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Finding the Fourth Proportional to 42,781, 64,197.42 and 18,157

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Solution

The fourth proportional to 42,781, 64,197.42 and 18,157 is: 27,246.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,781 : 64,197.42 = 18,157 : x
  2. Step 2: Convert to fraction form
    42,781/64,197.42 = 18,157/x
  3. Step 3: Cross multiply
    42,781x = 64,197.42 × 18,157
  4. Step 4: Simplify right side
    42,781x = 1,165,632,554.94
  5. Step 5: Solve for x
    x = 1,165,632,554.94/42,781
  6. Step 6: Final answer
    x = 27,246.50

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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.