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Finding the Fourth Proportional to 206,006.66, 309,148.50 and 72,886.40

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Solution

The fourth proportional to 206,006.66, 309,148.50 and 72,886.40 is: 109,378.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,006.66 : 309,148.50 = 72,886.40 : x
  2. Step 2: Convert to fraction form
    206,006.66/309,148.50 = 72,886.40/x
  3. Step 3: Cross multiply
    206,006.66x = 309,148.50 × 72,886.40
  4. Step 4: Simplify right side
    206,006.66x = 22,532,721,230.40
  5. Step 5: Solve for x
    x = 22,532,721,230.40/206,006.66
  6. Step 6: Final answer
    x = 109,378.61

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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.