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Finding the Fourth Proportional to 203,050.78, 280,206.72 and 112,404.88

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Solution

The fourth proportional to 203,050.78, 280,206.72 and 112,404.88 is: 155,116.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,050.78 : 280,206.72 = 112,404.88 : x
  2. Step 2: Convert to fraction form
    203,050.78/280,206.72 = 112,404.88/x
  3. Step 3: Cross multiply
    203,050.78x = 280,206.72 × 112,404.88
  4. Step 4: Simplify right side
    203,050.78x = 31,496,602,736.79
  5. Step 5: Solve for x
    x = 31,496,602,736.79/203,050.78
  6. Step 6: Final answer
    x = 155,116.88

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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.