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Finding the Fourth Proportional to 130,739.60, 195,850.20 and 71,469.20

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Solution

The fourth proportional to 130,739.60, 195,850.20 and 71,469.20 is: 107,062.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,739.60 : 195,850.20 = 71,469.20 : x
  2. Step 2: Convert to fraction form
    130,739.60/195,850.20 = 71,469.20/x
  3. Step 3: Cross multiply
    130,739.60x = 195,850.20 × 71,469.20
  4. Step 4: Simplify right side
    130,739.60x = 13,997,257,113.84
  5. Step 5: Solve for x
    x = 13,997,257,113.84/130,739.60
  6. Step 6: Final answer
    x = 107,062.11

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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.