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Finding the Fourth Proportional to 254,586.98, 381,898.92 and 77,107.83

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Solution

The fourth proportional to 254,586.98, 381,898.92 and 77,107.83 is: 115,667.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,586.98 : 381,898.92 = 77,107.83 : x
  2. Step 2: Convert to fraction form
    254,586.98/381,898.92 = 77,107.83/x
  3. Step 3: Cross multiply
    254,586.98x = 381,898.92 × 77,107.83
  4. Step 4: Simplify right side
    254,586.98x = 29,447,397,000.54
  5. Step 5: Solve for x
    x = 29,447,397,000.54/254,586.98
  6. Step 6: Final answer
    x = 115,667.34

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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.