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Finding the Fourth Proportional to 203,497.65, 280,806.75 and 112,852.04

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Solution

The fourth proportional to 203,497.65, 280,806.75 and 112,852.04 is: 155,724.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,497.65 : 280,806.75 = 112,852.04 : x
  2. Step 2: Convert to fraction form
    203,497.65/280,806.75 = 112,852.04/x
  3. Step 3: Cross multiply
    203,497.65x = 280,806.75 × 112,852.04
  4. Step 4: Simplify right side
    203,497.65x = 31,689,613,179.24
  5. Step 5: Solve for x
    x = 31,689,613,179.24/203,497.65
  6. Step 6: Final answer
    x = 155,724.71

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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.