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Finding the Fourth Proportional to 130,755.75, 196,162.79 and 47,649.75

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Solution

The fourth proportional to 130,755.75, 196,162.79 and 47,649.75 is: 71,485.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,755.75 : 196,162.79 = 47,649.75 : x
  2. Step 2: Convert to fraction form
    130,755.75/196,162.79 = 47,649.75/x
  3. Step 3: Cross multiply
    130,755.75x = 196,162.79 × 47,649.75
  4. Step 4: Simplify right side
    130,755.75x = 9,347,107,664.55
  5. Step 5: Solve for x
    x = 9,347,107,664.55/130,755.75
  6. Step 6: Final answer
    x = 71,485.25

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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.