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Finding the Fourth Proportional to 133,905.19, 200,717.62 and 45,128.02

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Solution

The fourth proportional to 133,905.19, 200,717.62 and 45,128.02 is: 67,644.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,905.19 : 200,717.62 = 45,128.02 : x
  2. Step 2: Convert to fraction form
    133,905.19/200,717.62 = 45,128.02/x
  3. Step 3: Cross multiply
    133,905.19x = 200,717.62 × 45,128.02
  4. Step 4: Simplify right side
    133,905.19x = 9,057,988,769.71
  5. Step 5: Solve for x
    x = 9,057,988,769.71/133,905.19
  6. Step 6: Final answer
    x = 67,644.79

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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.