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Finding the Fourth Proportional to 143,289.28, 214,755.72 and 76,564.72

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Solution

The fourth proportional to 143,289.28, 214,755.72 and 76,564.72 is: 114,751.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,289.28 : 214,755.72 = 76,564.72 : x
  2. Step 2: Convert to fraction form
    143,289.28/214,755.72 = 76,564.72/x
  3. Step 3: Cross multiply
    143,289.28x = 214,755.72 × 76,564.72
  4. Step 4: Simplify right side
    143,289.28x = 16,442,711,570.20
  5. Step 5: Solve for x
    x = 16,442,711,570.20/143,289.28
  6. Step 6: Final answer
    x = 114,751.86

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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.