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Finding the Fourth Proportional to 258,738.97, 357,059.73 and 144,015.15

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Solution

The fourth proportional to 258,738.97, 357,059.73 and 144,015.15 is: 198,740.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,738.97 : 357,059.73 = 144,015.15 : x
  2. Step 2: Convert to fraction form
    258,738.97/357,059.73 = 144,015.15/x
  3. Step 3: Cross multiply
    258,738.97x = 357,059.73 × 144,015.15
  4. Step 4: Simplify right side
    258,738.97x = 51,422,009,034.12
  5. Step 5: Solve for x
    x = 51,422,009,034.12/258,738.97
  6. Step 6: Final answer
    x = 198,740.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.