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Finding the Fourth Proportional to 206,599.86, 310,065.87 and 106,789.32

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Solution

The fourth proportional to 206,599.86, 310,065.87 and 106,789.32 is: 160,269.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,599.86 : 310,065.87 = 106,789.32 : x
  2. Step 2: Convert to fraction form
    206,599.86/310,065.87 = 106,789.32/x
  3. Step 3: Cross multiply
    206,599.86x = 310,065.87 × 106,789.32
  4. Step 4: Simplify right side
    206,599.86x = 33,111,723,412.51
  5. Step 5: Solve for x
    x = 33,111,723,412.51/206,599.86
  6. Step 6: Final answer
    x = 160,269.83

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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.