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Finding the Fourth Proportional to 203,478.45, 280,814.64 and 112,843.10

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Solution

The fourth proportional to 203,478.45, 280,814.64 and 112,843.10 is: 155,731.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,478.45 : 280,814.64 = 112,843.10 : x
  2. Step 2: Convert to fraction form
    203,478.45/280,814.64 = 112,843.10/x
  3. Step 3: Cross multiply
    203,478.45x = 280,814.64 × 112,843.10
  4. Step 4: Simplify right side
    203,478.45x = 31,687,993,098.91
  5. Step 5: Solve for x
    x = 31,687,993,098.91/203,478.45
  6. Step 6: Final answer
    x = 155,731.45

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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.