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Finding the Fourth Proportional to 258,529.54, 387,793.68 and 123,182.77

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Solution

The fourth proportional to 258,529.54, 387,793.68 and 123,182.77 is: 184,773.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,529.54 : 387,793.68 = 123,182.77 : x
  2. Step 2: Convert to fraction form
    258,529.54/387,793.68 = 123,182.77/x
  3. Step 3: Cross multiply
    258,529.54x = 387,793.68 × 123,182.77
  4. Step 4: Simplify right side
    258,529.54x = 47,769,499,690.89
  5. Step 5: Solve for x
    x = 47,769,499,690.89/258,529.54
  6. Step 6: Final answer
    x = 184,773.85

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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.