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Finding the Fourth Proportional to 126,644.74, 189,830.41 and 82,303.32

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Solution

The fourth proportional to 126,644.74, 189,830.41 and 82,303.32 is: 123,366.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,644.74 : 189,830.41 = 82,303.32 : x
  2. Step 2: Convert to fraction form
    126,644.74/189,830.41 = 82,303.32/x
  3. Step 3: Cross multiply
    126,644.74x = 189,830.41 × 82,303.32
  4. Step 4: Simplify right side
    126,644.74x = 15,623,672,979.96
  5. Step 5: Solve for x
    x = 15,623,672,979.96/126,644.74
  6. Step 6: Final answer
    x = 123,366.14

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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.