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Finding the Fourth Proportional to 101,712, 140,371.20 and 57,008.64

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Solution

The fourth proportional to 101,712, 140,371.20 and 57,008.64 is: 78,676.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,712 : 140,371.20 = 57,008.64 : x
  2. Step 2: Convert to fraction form
    101,712/140,371.20 = 57,008.64/x
  3. Step 3: Cross multiply
    101,712x = 140,371.20 × 57,008.64
  4. Step 4: Simplify right side
    101,712x = 8,002,371,207.17
  5. Step 5: Solve for x
    x = 8,002,371,207.17/101,712
  6. Step 6: Final answer
    x = 78,676.77

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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.