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Finding the Fourth Proportional to 255,100.39, 382,705.56 and 77,621.69

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Solution

The fourth proportional to 255,100.39, 382,705.56 and 77,621.69 is: 116,449.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,100.39 : 382,705.56 = 77,621.69 : x
  2. Step 2: Convert to fraction form
    255,100.39/382,705.56 = 77,621.69/x
  3. Step 3: Cross multiply
    255,100.39x = 382,705.56 × 77,621.69
  4. Step 4: Simplify right side
    255,100.39x = 29,706,253,296.36
  5. Step 5: Solve for x
    x = 29,706,253,296.36/255,100.39
  6. Step 6: Final answer
    x = 116,449.27

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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.