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Finding the Fourth Proportional to 206,518.33, 309,701.81 and 71,547.54

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Solution

The fourth proportional to 206,518.33, 309,701.81 and 71,547.54 is: 107,295.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,518.33 : 309,701.81 = 71,547.54 : x
  2. Step 2: Convert to fraction form
    206,518.33/309,701.81 = 71,547.54/x
  3. Step 3: Cross multiply
    206,518.33x = 309,701.81 × 71,547.54
  4. Step 4: Simplify right side
    206,518.33x = 22,158,402,460.18
  5. Step 5: Solve for x
    x = 22,158,402,460.18/206,518.33
  6. Step 6: Final answer
    x = 107,295.09

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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.