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Finding the Fourth Proportional to 126,077.20, 189,115.80 and 90,647.80

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Solution

The fourth proportional to 126,077.20, 189,115.80 and 90,647.80 is: 135,971.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,077.20 : 189,115.80 = 90,647.80 : x
  2. Step 2: Convert to fraction form
    126,077.20/189,115.80 = 90,647.80/x
  3. Step 3: Cross multiply
    126,077.20x = 189,115.80 × 90,647.80
  4. Step 4: Simplify right side
    126,077.20x = 17,142,931,215.24
  5. Step 5: Solve for x
    x = 17,142,931,215.24/126,077.20
  6. Step 6: Final answer
    x = 135,971.70

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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.