Home / 206,829.74-309,982.16-106,971.32

Finding the Fourth Proportional to 206,829.74, 309,982.16 and 106,971.32

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Solution

The fourth proportional to 206,829.74, 309,982.16 and 106,971.32 is: 160,321.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,829.74 : 309,982.16 = 106,971.32 : x
  2. Step 2: Convert to fraction form
    206,829.74/309,982.16 = 106,971.32/x
  3. Step 3: Cross multiply
    206,829.74x = 309,982.16 × 106,971.32
  4. Step 4: Simplify right side
    206,829.74x = 33,159,199,549.17
  5. Step 5: Solve for x
    x = 33,159,199,549.17/206,829.74
  6. Step 6: Final answer
    x = 160,321.24

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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.