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Finding the Fourth Proportional to 132,879.30, 199,359.19 and 47,478.98

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Solution

The fourth proportional to 132,879.30, 199,359.19 and 47,478.98 is: 71,232.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,879.30 : 199,359.19 = 47,478.98 : x
  2. Step 2: Convert to fraction form
    132,879.30/199,359.19 = 47,478.98/x
  3. Step 3: Cross multiply
    132,879.30x = 199,359.19 × 47,478.98
  4. Step 4: Simplify right side
    132,879.30x = 9,465,370,994.83
  5. Step 5: Solve for x
    x = 9,465,370,994.83/132,879.30
  6. Step 6: Final answer
    x = 71,232.85

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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.