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Finding the Fourth Proportional to 142,687.29, 214,033.03 and 67,815.08

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Solution

The fourth proportional to 142,687.29, 214,033.03 and 67,815.08 is: 101,723.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,687.29 : 214,033.03 = 67,815.08 : x
  2. Step 2: Convert to fraction form
    142,687.29/214,033.03 = 67,815.08/x
  3. Step 3: Cross multiply
    142,687.29x = 214,033.03 × 67,815.08
  4. Step 4: Simplify right side
    142,687.29x = 14,514,667,052.09
  5. Step 5: Solve for x
    x = 14,514,667,052.09/142,687.29
  6. Step 6: Final answer
    x = 101,723.62

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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.