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Finding the Fourth Proportional to 203,506.65, 280,856.43 and 112,891.81

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Solution

The fourth proportional to 203,506.65, 280,856.43 and 112,891.81 is: 155,800.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,506.65 : 280,856.43 = 112,891.81 : x
  2. Step 2: Convert to fraction form
    203,506.65/280,856.43 = 112,891.81/x
  3. Step 3: Cross multiply
    203,506.65x = 280,856.43 × 112,891.81
  4. Step 4: Simplify right side
    203,506.65x = 31,706,390,030.70
  5. Step 5: Solve for x
    x = 31,706,390,030.70/203,506.65
  6. Step 6: Final answer
    x = 155,800.27

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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.