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Finding the Fourth Proportional to 258,693.29, 387,787.87 and 123,722.24

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Solution

The fourth proportional to 258,693.29, 387,787.87 and 123,722.24 is: 185,462.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,693.29 : 387,787.87 = 123,722.24 : x
  2. Step 2: Convert to fraction form
    258,693.29/387,787.87 = 123,722.24/x
  3. Step 3: Cross multiply
    258,693.29x = 387,787.87 × 123,722.24
  4. Step 4: Simplify right side
    258,693.29x = 47,977,983,921.23
  5. Step 5: Solve for x
    x = 47,977,983,921.23/258,693.29
  6. Step 6: Final answer
    x = 185,462.81

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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.