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Finding the Fourth Proportional to 132,405.60, 198,478.80 and 53,414.40

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Solution

The fourth proportional to 132,405.60, 198,478.80 and 53,414.40 is: 80,069.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,405.60 : 198,478.80 = 53,414.40 : x
  2. Step 2: Convert to fraction form
    132,405.60/198,478.80 = 53,414.40/x
  3. Step 3: Cross multiply
    132,405.60x = 198,478.80 × 53,414.40
  4. Step 4: Simplify right side
    132,405.60x = 10,601,626,014.72
  5. Step 5: Solve for x
    x = 10,601,626,014.72/132,405.60
  6. Step 6: Final answer
    x = 80,069.32

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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.