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Finding the Fourth Proportional to 101,874.54, 152,871.30 and 42,705.66

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Solution

The fourth proportional to 101,874.54, 152,871.30 and 42,705.66 is: 64,083.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,874.54 : 152,871.30 = 42,705.66 : x
  2. Step 2: Convert to fraction form
    101,874.54/152,871.30 = 42,705.66/x
  3. Step 3: Cross multiply
    101,874.54x = 152,871.30 × 42,705.66
  4. Step 4: Simplify right side
    101,874.54x = 6,528,469,761.56
  5. Step 5: Solve for x
    x = 6,528,469,761.56/101,874.54
  6. Step 6: Final answer
    x = 64,083.43

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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.