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Finding the Fourth Proportional to 189,990.76, 284,389.98 and 126,686.44

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Solution

The fourth proportional to 189,990.76, 284,389.98 and 126,686.44 is: 189,632.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,990.76 : 284,389.98 = 126,686.44 : x
  2. Step 2: Convert to fraction form
    189,990.76/284,389.98 = 126,686.44/x
  3. Step 3: Cross multiply
    189,990.76x = 284,389.98 × 126,686.44
  4. Step 4: Simplify right side
    189,990.76x = 36,028,354,137.87
  5. Step 5: Solve for x
    x = 36,028,354,137.87/189,990.76
  6. Step 6: Final answer
    x = 189,632.14

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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.