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Finding the Fourth Proportional to 203,424.72, 280,742.70 and 112,809.10

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Solution

The fourth proportional to 203,424.72, 280,742.70 and 112,809.10 is: 155,685.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,424.72 : 280,742.70 = 112,809.10 : x
  2. Step 2: Convert to fraction form
    203,424.72/280,742.70 = 112,809.10/x
  3. Step 3: Cross multiply
    203,424.72x = 280,742.70 × 112,809.10
  4. Step 4: Simplify right side
    203,424.72x = 31,670,331,318.57
  5. Step 5: Solve for x
    x = 31,670,331,318.57/203,424.72
  6. Step 6: Final answer
    x = 155,685.76

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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.