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Finding the Fourth Proportional to 132,121.60, 198,412.80 and 127,974.40

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Solution

The fourth proportional to 132,121.60, 198,412.80 and 127,974.40 is: 192,184.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,121.60 : 198,412.80 = 127,974.40 : x
  2. Step 2: Convert to fraction form
    132,121.60/198,412.80 = 127,974.40/x
  3. Step 3: Cross multiply
    132,121.60x = 198,412.80 × 127,974.40
  4. Step 4: Simplify right side
    132,121.60x = 25,391,759,032.32
  5. Step 5: Solve for x
    x = 25,391,759,032.32/132,121.60
  6. Step 6: Final answer
    x = 192,184.77

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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.