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Finding the Fourth Proportional to 132,532.80, 198,653.40 and 57,640.20

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Solution

The fourth proportional to 132,532.80, 198,653.40 and 57,640.20 is: 86,396.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,532.80 : 198,653.40 = 57,640.20 : x
  2. Step 2: Convert to fraction form
    132,532.80/198,653.40 = 57,640.20/x
  3. Step 3: Cross multiply
    132,532.80x = 198,653.40 × 57,640.20
  4. Step 4: Simplify right side
    132,532.80x = 11,450,421,706.68
  5. Step 5: Solve for x
    x = 11,450,421,706.68/132,532.80
  6. Step 6: Final answer
    x = 86,396.89

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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.