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Finding the Fourth Proportional to 130,849.60, 196,288.80 and 47,761.60

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Solution

The fourth proportional to 130,849.60, 196,288.80 and 47,761.60 is: 71,647.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,849.60 : 196,288.80 = 47,761.60 : x
  2. Step 2: Convert to fraction form
    130,849.60/196,288.80 = 47,761.60/x
  3. Step 3: Cross multiply
    130,849.60x = 196,288.80 × 47,761.60
  4. Step 4: Simplify right side
    130,849.60x = 9,375,067,150.08
  5. Step 5: Solve for x
    x = 9,375,067,150.08/130,849.60
  6. Step 6: Final answer
    x = 71,647.66

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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.