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Finding the Fourth Proportional to 203,474.10, 280,808.34 and 112,838.46

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Solution

The fourth proportional to 203,474.10, 280,808.34 and 112,838.46 is: 155,724.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,474.10 : 280,808.34 = 112,838.46 : x
  2. Step 2: Convert to fraction form
    203,474.10/280,808.34 = 112,838.46/x
  3. Step 3: Cross multiply
    203,474.10x = 280,808.34 × 112,838.46
  4. Step 4: Simplify right side
    203,474.10x = 31,685,980,640.76
  5. Step 5: Solve for x
    x = 31,685,980,640.76/203,474.10
  6. Step 6: Final answer
    x = 155,724.88

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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.