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Finding the Fourth Proportional to 203,514.50, 280,859.39 and 112,865.07

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Solution

The fourth proportional to 203,514.50, 280,859.39 and 112,865.07 is: 155,758.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,514.50 : 280,859.39 = 112,865.07 : x
  2. Step 2: Convert to fraction form
    203,514.50/280,859.39 = 112,865.07/x
  3. Step 3: Cross multiply
    203,514.50x = 280,859.39 × 112,865.07
  4. Step 4: Simplify right side
    203,514.50x = 31,699,213,254.90
  5. Step 5: Solve for x
    x = 31,699,213,254.90/203,514.50
  6. Step 6: Final answer
    x = 155,758.99

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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.