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Finding the Fourth Proportional to 203,020.83, 280,164.87 and 112,376.88

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Solution

The fourth proportional to 203,020.83, 280,164.87 and 112,376.88 is: 155,077.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,020.83 : 280,164.87 = 112,376.88 : x
  2. Step 2: Convert to fraction form
    203,020.83/280,164.87 = 112,376.88/x
  3. Step 3: Cross multiply
    203,020.83x = 280,164.87 × 112,376.88
  4. Step 4: Simplify right side
    203,020.83x = 31,484,053,976.21
  5. Step 5: Solve for x
    x = 31,484,053,976.21/203,020.83
  6. Step 6: Final answer
    x = 155,077.95

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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.