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Finding the Fourth Proportional to 126,168.98, 189,283.84 and 47,283.88

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Solution

The fourth proportional to 126,168.98, 189,283.84 and 47,283.88 is: 70,937.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,168.98 : 189,283.84 = 47,283.88 : x
  2. Step 2: Convert to fraction form
    126,168.98/189,283.84 = 47,283.88/x
  3. Step 3: Cross multiply
    126,168.98x = 189,283.84 × 47,283.88
  4. Step 4: Simplify right side
    126,168.98x = 8,950,074,376.50
  5. Step 5: Solve for x
    x = 8,950,074,376.50/126,168.98
  6. Step 6: Final answer
    x = 70,937.20

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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.