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Finding the Fourth Proportional to 258,857.74, 357,138.06 and 151,351.66

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Solution

The fourth proportional to 258,857.74, 357,138.06 and 151,351.66 is: 208,815.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,857.74 : 357,138.06 = 151,351.66 : x
  2. Step 2: Convert to fraction form
    258,857.74/357,138.06 = 151,351.66/x
  3. Step 3: Cross multiply
    258,857.74x = 357,138.06 × 151,351.66
  4. Step 4: Simplify right side
    258,857.74x = 54,053,436,951.49
  5. Step 5: Solve for x
    x = 54,053,436,951.49/258,857.74
  6. Step 6: Final answer
    x = 208,815.22

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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.