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Finding the Fourth Proportional to 203,154.78, 280,332.24 and 112,508.34

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Solution

The fourth proportional to 203,154.78, 280,332.24 and 112,508.34 is: 155,249.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,154.78 : 280,332.24 = 112,508.34 : x
  2. Step 2: Convert to fraction form
    203,154.78/280,332.24 = 112,508.34/x
  3. Step 3: Cross multiply
    203,154.78x = 280,332.24 × 112,508.34
  4. Step 4: Simplify right side
    203,154.78x = 31,539,714,970.88
  5. Step 5: Solve for x
    x = 31,539,714,970.88/203,154.78
  6. Step 6: Final answer
    x = 155,249.68

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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.