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Finding the Fourth Proportional to 231,878.40, 347,865.60 and 74,086.40

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Solution

The fourth proportional to 231,878.40, 347,865.60 and 74,086.40 is: 111,144.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,878.40 : 347,865.60 = 74,086.40 : x
  2. Step 2: Convert to fraction form
    231,878.40/347,865.60 = 74,086.40/x
  3. Step 3: Cross multiply
    231,878.40x = 347,865.60 × 74,086.40
  4. Step 4: Simplify right side
    231,878.40x = 25,772,109,987.84
  5. Step 5: Solve for x
    x = 25,772,109,987.84/231,878.40
  6. Step 6: Final answer
    x = 111,144.94

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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.