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Finding the Fourth Proportional to 258,796.25, 387,955.27 and 138,937.56

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Solution

The fourth proportional to 258,796.25, 387,955.27 and 138,937.56 is: 208,277.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,796.25 : 387,955.27 = 138,937.56 : x
  2. Step 2: Convert to fraction form
    258,796.25/387,955.27 = 138,937.56/x
  3. Step 3: Cross multiply
    258,796.25x = 387,955.27 × 138,937.56
  4. Step 4: Simplify right side
    258,796.25x = 53,901,558,602.94
  5. Step 5: Solve for x
    x = 53,901,558,602.94/258,796.25
  6. Step 6: Final answer
    x = 208,277.97

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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.