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Finding the Fourth Proportional to 102,992.92, 142,132.52 and 72,832.37

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Solution

The fourth proportional to 102,992.92, 142,132.52 and 72,832.37 is: 100,510.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,992.92 : 142,132.52 = 72,832.37 : x
  2. Step 2: Convert to fraction form
    102,992.92/142,132.52 = 72,832.37/x
  3. Step 3: Cross multiply
    102,992.92x = 142,132.52 × 72,832.37
  4. Step 4: Simplify right side
    102,992.92x = 10,351,847,757.09
  5. Step 5: Solve for x
    x = 10,351,847,757.09/102,992.92
  6. Step 6: Final answer
    x = 100,510.29

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1.5x scale

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.