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Finding the Fourth Proportional to 100,999.14, 151,542.48 and 54,197.34

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Solution

The fourth proportional to 100,999.14, 151,542.48 and 54,197.34 is: 81,319.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,999.14 : 151,542.48 = 54,197.34 : x
  2. Step 2: Convert to fraction form
    100,999.14/151,542.48 = 54,197.34/x
  3. Step 3: Cross multiply
    100,999.14x = 151,542.48 × 54,197.34
  4. Step 4: Simplify right side
    100,999.14x = 8,213,199,313.00
  5. Step 5: Solve for x
    x = 8,213,199,313.00/100,999.14
  6. Step 6: Final answer
    x = 81,319.50

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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.