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Finding the Fourth Proportional to 118,882.53, 178,343.87 and 39,978

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Solution

The fourth proportional to 118,882.53, 178,343.87 and 39,978 is: 59,973.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,882.53 : 178,343.87 = 39,978 : x
  2. Step 2: Convert to fraction form
    118,882.53/178,343.87 = 39,978/x
  3. Step 3: Cross multiply
    118,882.53x = 178,343.87 × 39,978
  4. Step 4: Simplify right side
    118,882.53x = 7,129,831,034.97
  5. Step 5: Solve for x
    x = 7,129,831,034.97/118,882.53
  6. Step 6: Final answer
    x = 59,973.75

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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.