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Finding the Fourth Proportional to 255,173.92, 382,819.12 and 77,706.08

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Solution

The fourth proportional to 255,173.92, 382,819.12 and 77,706.08 is: 116,576.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,173.92 : 382,819.12 = 77,706.08 : x
  2. Step 2: Convert to fraction form
    255,173.92/382,819.12 = 77,706.08/x
  3. Step 3: Cross multiply
    255,173.92x = 382,819.12 × 77,706.08
  4. Step 4: Simplify right side
    255,173.92x = 29,747,373,164.25
  5. Step 5: Solve for x
    x = 29,747,373,164.25/255,173.92
  6. Step 6: Final answer
    x = 116,576.86

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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.