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Finding the Fourth Proportional to 254,838.60, 382,160.70 and 77,286.60

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Solution

The fourth proportional to 254,838.60, 382,160.70 and 77,286.60 is: 115,900.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,838.60 : 382,160.70 = 77,286.60 : x
  2. Step 2: Convert to fraction form
    254,838.60/382,160.70 = 77,286.60/x
  3. Step 3: Cross multiply
    254,838.60x = 382,160.70 × 77,286.60
  4. Step 4: Simplify right side
    254,838.60x = 29,535,901,156.62
  5. Step 5: Solve for x
    x = 29,535,901,156.62/254,838.60
  6. Step 6: Final answer
    x = 115,900.42

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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.