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Finding the Fourth Proportional to 101,213.48, 151,820.40 and 31,092.32

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Solution

The fourth proportional to 101,213.48, 151,820.40 and 31,092.32 is: 46,638.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,213.48 : 151,820.40 = 31,092.32 : x
  2. Step 2: Convert to fraction form
    101,213.48/151,820.40 = 31,092.32/x
  3. Step 3: Cross multiply
    101,213.48x = 151,820.40 × 31,092.32
  4. Step 4: Simplify right side
    101,213.48x = 4,720,448,459.33
  5. Step 5: Solve for x
    x = 4,720,448,459.33/101,213.48
  6. Step 6: Final answer
    x = 46,638.54

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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.