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Finding the Fourth Proportional to 142,718.43, 214,086.87 and 47,944.78

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Solution

The fourth proportional to 142,718.43, 214,086.87 and 47,944.78 is: 71,920.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,718.43 : 214,086.87 = 47,944.78 : x
  2. Step 2: Convert to fraction form
    142,718.43/214,086.87 = 47,944.78/x
  3. Step 3: Cross multiply
    142,718.43x = 214,086.87 × 47,944.78
  4. Step 4: Simplify right side
    142,718.43x = 10,264,347,643.31
  5. Step 5: Solve for x
    x = 10,264,347,643.31/142,718.43
  6. Step 6: Final answer
    x = 71,920.27

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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.