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Finding the Fourth Proportional to 206,547.23, 309,425.90 and 139,659.05

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Solution

The fourth proportional to 206,547.23, 309,425.90 and 139,659.05 is: 209,221.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,547.23 : 309,425.90 = 139,659.05 : x
  2. Step 2: Convert to fraction form
    206,547.23/309,425.90 = 139,659.05/x
  3. Step 3: Cross multiply
    206,547.23x = 309,425.90 × 139,659.05
  4. Step 4: Simplify right side
    206,547.23x = 43,214,124,993.97
  5. Step 5: Solve for x
    x = 43,214,124,993.97/206,547.23
  6. Step 6: Final answer
    x = 209,221.52

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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.