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Finding the Fourth Proportional to 255,245.28, 382,853.96 and 77,737.44

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Solution

The fourth proportional to 255,245.28, 382,853.96 and 77,737.44 is: 116,601.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,245.28 : 382,853.96 = 77,737.44 : x
  2. Step 2: Convert to fraction form
    255,245.28/382,853.96 = 77,737.44/x
  3. Step 3: Cross multiply
    255,245.28x = 382,853.96 × 77,737.44
  4. Step 4: Simplify right side
    255,245.28x = 29,762,086,744.26
  5. Step 5: Solve for x
    x = 29,762,086,744.26/255,245.28
  6. Step 6: Final answer
    x = 116,601.91

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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.