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Finding the Fourth Proportional to 192,712.68, 288,694.98 and 142,019.64

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Solution

The fourth proportional to 192,712.68, 288,694.98 and 142,019.64 is: 212,753.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,712.68 : 288,694.98 = 142,019.64 : x
  2. Step 2: Convert to fraction form
    192,712.68/288,694.98 = 142,019.64/x
  3. Step 3: Cross multiply
    192,712.68x = 288,694.98 × 142,019.64
  4. Step 4: Simplify right side
    192,712.68x = 41,000,357,129.41
  5. Step 5: Solve for x
    x = 41,000,357,129.41/192,712.68
  6. Step 6: Final answer
    x = 212,753.81

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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.