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Finding the Fourth Proportional to 101,612.96, 140,228.20 and 59,156

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Solution

The fourth proportional to 101,612.96, 140,228.20 and 59,156 is: 81,636.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,612.96 : 140,228.20 = 59,156 : x
  2. Step 2: Convert to fraction form
    101,612.96/140,228.20 = 59,156/x
  3. Step 3: Cross multiply
    101,612.96x = 140,228.20 × 59,156
  4. Step 4: Simplify right side
    101,612.96x = 8,295,339,399.20
  5. Step 5: Solve for x
    x = 8,295,339,399.20/101,612.96
  6. Step 6: Final answer
    x = 81,636.63

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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.