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Finding the Fourth Proportional to 101,512, 140,083.05 and 56,191.96

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Solution

The fourth proportional to 101,512, 140,083.05 and 56,191.96 is: 77,542.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,512 : 140,083.05 = 56,191.96 : x
  2. Step 2: Convert to fraction form
    101,512/140,083.05 = 56,191.96/x
  3. Step 3: Cross multiply
    101,512x = 140,083.05 × 56,191.96
  4. Step 4: Simplify right side
    101,512x = 7,871,541,142.28
  5. Step 5: Solve for x
    x = 7,871,541,142.28/101,512
  6. Step 6: Final answer
    x = 77,542.96

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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.