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Finding the Fourth Proportional to 133,812.70, 200,719.40 and 45,128.50

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Solution

The fourth proportional to 133,812.70, 200,719.40 and 45,128.50 is: 67,692.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,812.70 : 200,719.40 = 45,128.50 : x
  2. Step 2: Convert to fraction form
    133,812.70/200,719.40 = 45,128.50/x
  3. Step 3: Cross multiply
    133,812.70x = 200,719.40 × 45,128.50
  4. Step 4: Simplify right side
    133,812.70x = 9,058,164,715.46
  5. Step 5: Solve for x
    x = 9,058,164,715.46/133,812.70
  6. Step 6: Final answer
    x = 67,692.86

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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.