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Finding the Fourth Proportional to 57,001.50, 78,661.86 and 31,851

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Solution

The fourth proportional to 57,001.50, 78,661.86 and 31,851 is: 43,954.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,001.50 : 78,661.86 = 31,851 : x
  2. Step 2: Convert to fraction form
    57,001.50/78,661.86 = 31,851/x
  3. Step 3: Cross multiply
    57,001.50x = 78,661.86 × 31,851
  4. Step 4: Simplify right side
    57,001.50x = 2,505,458,902.86
  5. Step 5: Solve for x
    x = 2,505,458,902.86/57,001.50
  6. Step 6: Final answer
    x = 43,954.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.