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Finding the Fourth Proportional to 258,524.52, 387,783.84 and 100,863.69

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Solution

The fourth proportional to 258,524.52, 387,783.84 and 100,863.69 is: 151,294.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,524.52 : 387,783.84 = 100,863.69 : x
  2. Step 2: Convert to fraction form
    258,524.52/387,783.84 = 100,863.69/x
  3. Step 3: Cross multiply
    258,524.52x = 387,783.84 × 100,863.69
  4. Step 4: Simplify right side
    258,524.52x = 39,113,309,024.77
  5. Step 5: Solve for x
    x = 39,113,309,024.77/258,524.52
  6. Step 6: Final answer
    x = 151,294.39

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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.