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Finding the Fourth Proportional to 206,283.76, 309,365.61 and 79,895.81

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Solution

The fourth proportional to 206,283.76, 309,365.61 and 79,895.81 is: 119,820.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,283.76 : 309,365.61 = 79,895.81 : x
  2. Step 2: Convert to fraction form
    206,283.76/309,365.61 = 79,895.81/x
  3. Step 3: Cross multiply
    206,283.76x = 309,365.61 × 79,895.81
  4. Step 4: Simplify right side
    206,283.76x = 24,717,016,770.51
  5. Step 5: Solve for x
    x = 24,717,016,770.51/206,283.76
  6. Step 6: Final answer
    x = 119,820.47

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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.