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Finding the Fourth Proportional to 126,486.90, 189,584.28 and 47,550.78

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Solution

The fourth proportional to 126,486.90, 189,584.28 and 47,550.78 is: 71,271.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,486.90 : 189,584.28 = 47,550.78 : x
  2. Step 2: Convert to fraction form
    126,486.90/189,584.28 = 47,550.78/x
  3. Step 3: Cross multiply
    126,486.90x = 189,584.28 × 47,550.78
  4. Step 4: Simplify right side
    126,486.90x = 9,014,880,389.74
  5. Step 5: Solve for x
    x = 9,014,880,389.74/126,486.90
  6. Step 6: Final answer
    x = 71,271.26

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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.