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Finding the Fourth Proportional to 101,981, 140,733.78 and 57,269

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Solution

The fourth proportional to 101,981, 140,733.78 and 57,269 is: 79,031.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,981 : 140,733.78 = 57,269 : x
  2. Step 2: Convert to fraction form
    101,981/140,733.78 = 57,269/x
  3. Step 3: Cross multiply
    101,981x = 140,733.78 × 57,269
  4. Step 4: Simplify right side
    101,981x = 8,059,682,846.82
  5. Step 5: Solve for x
    x = 8,059,682,846.82/101,981
  6. Step 6: Final answer
    x = 79,031.22

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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.