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Finding the Fourth Proportional to 217,273.40, 325,812.90 and 84,109.40

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Solution

The fourth proportional to 217,273.40, 325,812.90 and 84,109.40 is: 126,126.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,273.40 : 325,812.90 = 84,109.40 : x
  2. Step 2: Convert to fraction form
    217,273.40/325,812.90 = 84,109.40/x
  3. Step 3: Cross multiply
    217,273.40x = 325,812.90 × 84,109.40
  4. Step 4: Simplify right side
    217,273.40x = 27,403,927,531.26
  5. Step 5: Solve for x
    x = 27,403,927,531.26/217,273.40
  6. Step 6: Final answer
    x = 126,126.47

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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.