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Finding the Fourth Proportional to 101,976.96, 140,727.36 and 57,264

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Solution

The fourth proportional to 101,976.96, 140,727.36 and 57,264 is: 79,023.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,976.96 : 140,727.36 = 57,264 : x
  2. Step 2: Convert to fraction form
    101,976.96/140,727.36 = 57,264/x
  3. Step 3: Cross multiply
    101,976.96x = 140,727.36 × 57,264
  4. Step 4: Simplify right side
    101,976.96x = 8,058,611,543.04
  5. Step 5: Solve for x
    x = 8,058,611,543.04/101,976.96
  6. Step 6: Final answer
    x = 79,023.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.