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Finding the Fourth Proportional to 202,969.62, 280,098.61 and 112,331.84

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Solution

The fourth proportional to 202,969.62, 280,098.61 and 112,331.84 is: 155,018.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,969.62 : 280,098.61 = 112,331.84 : x
  2. Step 2: Convert to fraction form
    202,969.62/280,098.61 = 112,331.84/x
  3. Step 3: Cross multiply
    202,969.62x = 280,098.61 × 112,331.84
  4. Step 4: Simplify right side
    202,969.62x = 31,463,990,561.42
  5. Step 5: Solve for x
    x = 31,463,990,561.42/202,969.62
  6. Step 6: Final answer
    x = 155,018.23

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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.