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Finding the Fourth Proportional to 77,998.92, 107,638.18 and 42,189

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Solution

The fourth proportional to 77,998.92, 107,638.18 and 42,189 is: 58,220.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,998.92 : 107,638.18 = 42,189 : x
  2. Step 2: Convert to fraction form
    77,998.92/107,638.18 = 42,189/x
  3. Step 3: Cross multiply
    77,998.92x = 107,638.18 × 42,189
  4. Step 4: Simplify right side
    77,998.92x = 4,541,147,176.02
  5. Step 5: Solve for x
    x = 4,541,147,176.02/77,998.92
  6. Step 6: Final answer
    x = 58,220.64

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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.