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Finding the Fourth Proportional to 133,680.80, 200,564.40 and 89,357.60

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Solution

The fourth proportional to 133,680.80, 200,564.40 and 89,357.60 is: 134,065.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,680.80 : 200,564.40 = 89,357.60 : x
  2. Step 2: Convert to fraction form
    133,680.80/200,564.40 = 89,357.60/x
  3. Step 3: Cross multiply
    133,680.80x = 200,564.40 × 89,357.60
  4. Step 4: Simplify right side
    133,680.80x = 17,921,953,429.44
  5. Step 5: Solve for x
    x = 17,921,953,429.44/133,680.80
  6. Step 6: Final answer
    x = 134,065.28

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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.