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Finding the Fourth Proportional to 143,141.78, 214,679.87 and 64,278.56

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Solution

The fourth proportional to 143,141.78, 214,679.87 and 64,278.56 is: 96,403.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,141.78 : 214,679.87 = 64,278.56 : x
  2. Step 2: Convert to fraction form
    143,141.78/214,679.87 = 64,278.56/x
  3. Step 3: Cross multiply
    143,141.78x = 214,679.87 × 64,278.56
  4. Step 4: Simplify right side
    143,141.78x = 13,799,313,360.94
  5. Step 5: Solve for x
    x = 13,799,313,360.94/143,141.78
  6. Step 6: Final answer
    x = 96,403.11

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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.