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Finding the Fourth Proportional to 202,984.19, 280,116.11 and 112,340.33

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Solution

The fourth proportional to 202,984.19, 280,116.11 and 112,340.33 is: 155,028.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,984.19 : 280,116.11 = 112,340.33 : x
  2. Step 2: Convert to fraction form
    202,984.19/280,116.11 = 112,340.33/x
  3. Step 3: Cross multiply
    202,984.19x = 280,116.11 × 112,340.33
  4. Step 4: Simplify right side
    202,984.19x = 31,468,335,115.99
  5. Step 5: Solve for x
    x = 31,468,335,115.99/202,984.19
  6. Step 6: Final answer
    x = 155,028.51

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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.