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Finding the Fourth Proportional to 205,599.52, 308,249.76 and 138,874.24

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Solution

The fourth proportional to 205,599.52, 308,249.76 and 138,874.24 is: 208,210.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,599.52 : 308,249.76 = 138,874.24 : x
  2. Step 2: Convert to fraction form
    205,599.52/308,249.76 = 138,874.24/x
  3. Step 3: Cross multiply
    205,599.52x = 308,249.76 × 138,874.24
  4. Step 4: Simplify right side
    205,599.52x = 42,807,951,150.18
  5. Step 5: Solve for x
    x = 42,807,951,150.18/205,599.52
  6. Step 6: Final answer
    x = 208,210.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.