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Finding the Fourth Proportional to 218,077.25, 326,981.89 and 84,802.15

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Solution

The fourth proportional to 218,077.25, 326,981.89 and 84,802.15 is: 127,151.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,077.25 : 326,981.89 = 84,802.15 : x
  2. Step 2: Convert to fraction form
    218,077.25/326,981.89 = 84,802.15/x
  3. Step 3: Cross multiply
    218,077.25x = 326,981.89 × 84,802.15
  4. Step 4: Simplify right side
    218,077.25x = 27,728,765,648.15
  5. Step 5: Solve for x
    x = 27,728,765,648.15/218,077.25
  6. Step 6: Final answer
    x = 127,151.12

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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.