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Finding the Fourth Proportional to 126,002.70, 189,392.85 and 123,669.90

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Solution

The fourth proportional to 126,002.70, 189,392.85 and 123,669.90 is: 185,886.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,002.70 : 189,392.85 = 123,669.90 : x
  2. Step 2: Convert to fraction form
    126,002.70/189,392.85 = 123,669.90/x
  3. Step 3: Cross multiply
    126,002.70x = 189,392.85 × 123,669.90
  4. Step 4: Simplify right side
    126,002.70x = 23,422,194,820.22
  5. Step 5: Solve for x
    x = 23,422,194,820.22/126,002.70
  6. Step 6: Final answer
    x = 185,886.45

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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.