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Finding the Fourth Proportional to 258,616.06, 387,938.67 and 81,119.14

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Solution

The fourth proportional to 258,616.06, 387,938.67 and 81,119.14 is: 121,683.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,616.06 : 387,938.67 = 81,119.14 : x
  2. Step 2: Convert to fraction form
    258,616.06/387,938.67 = 81,119.14/x
  3. Step 3: Cross multiply
    258,616.06x = 387,938.67 × 81,119.14
  4. Step 4: Simplify right side
    258,616.06x = 31,469,251,283.14
  5. Step 5: Solve for x
    x = 31,469,251,283.14/258,616.06
  6. Step 6: Final answer
    x = 121,683.28

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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.