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Finding the Fourth Proportional to 242,051.20, 363,076.80 and 75,817.60

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Solution

The fourth proportional to 242,051.20, 363,076.80 and 75,817.60 is: 113,726.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,051.20 : 363,076.80 = 75,817.60 : x
  2. Step 2: Convert to fraction form
    242,051.20/363,076.80 = 75,817.60/x
  3. Step 3: Cross multiply
    242,051.20x = 363,076.80 × 75,817.60
  4. Step 4: Simplify right side
    242,051.20x = 27,527,611,591.68
  5. Step 5: Solve for x
    x = 27,527,611,591.68/242,051.20
  6. Step 6: Final answer
    x = 113,726.40

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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.