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Finding the Fourth Proportional to 258,797.25, 387,956.77 and 138,938.56

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Solution

The fourth proportional to 258,797.25, 387,956.77 and 138,938.56 is: 208,279.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,797.25 : 387,956.77 = 138,938.56 : x
  2. Step 2: Convert to fraction form
    258,797.25/387,956.77 = 138,938.56/x
  3. Step 3: Cross multiply
    258,797.25x = 387,956.77 × 138,938.56
  4. Step 4: Simplify right side
    258,797.25x = 53,902,154,966.05
  5. Step 5: Solve for x
    x = 53,902,154,966.05/258,797.25
  6. Step 6: Final answer
    x = 208,279.47

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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.