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Finding the Fourth Proportional to 202,997.96, 280,135.80 and 112,354.16

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Solution

The fourth proportional to 202,997.96, 280,135.80 and 112,354.16 is: 155,047.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,997.96 : 280,135.80 = 112,354.16 : x
  2. Step 2: Convert to fraction form
    202,997.96/280,135.80 = 112,354.16/x
  3. Step 3: Cross multiply
    202,997.96x = 280,135.80 × 112,354.16
  4. Step 4: Simplify right side
    202,997.96x = 31,474,422,494.93
  5. Step 5: Solve for x
    x = 31,474,422,494.93/202,997.96
  6. Step 6: Final answer
    x = 155,047.97

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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.