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Finding the Fourth Proportional to 242,190, 363,343.32 and 75,978

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Solution

The fourth proportional to 242,190, 363,343.32 and 75,978 is: 113,985.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,190 : 363,343.32 = 75,978 : x
  2. Step 2: Convert to fraction form
    242,190/363,343.32 = 75,978/x
  3. Step 3: Cross multiply
    242,190x = 363,343.32 × 75,978
  4. Step 4: Simplify right side
    242,190x = 27,606,098,766.96
  5. Step 5: Solve for x
    x = 27,606,098,766.96/242,190
  6. Step 6: Final answer
    x = 113,985.30

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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.