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Finding the Fourth Proportional to 255,289.60, 382,989.66 and 77,791.96

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Solution

The fourth proportional to 255,289.60, 382,989.66 and 77,791.96 is: 116,704.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,289.60 : 382,989.66 = 77,791.96 : x
  2. Step 2: Convert to fraction form
    255,289.60/382,989.66 = 77,791.96/x
  3. Step 3: Cross multiply
    255,289.60x = 382,989.66 × 77,791.96
  4. Step 4: Simplify right side
    255,289.60x = 29,793,516,311.13
  5. Step 5: Solve for x
    x = 29,793,516,311.13/255,289.60
  6. Step 6: Final answer
    x = 116,704.78

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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.