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Finding the Fourth Proportional to 126,503.60, 189,828.30 and 47,674.40

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Solution

The fourth proportional to 126,503.60, 189,828.30 and 47,674.40 is: 71,539.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,503.60 : 189,828.30 = 47,674.40 : x
  2. Step 2: Convert to fraction form
    126,503.60/189,828.30 = 47,674.40/x
  3. Step 3: Cross multiply
    126,503.60x = 189,828.30 × 47,674.40
  4. Step 4: Simplify right side
    126,503.60x = 9,049,950,305.52
  5. Step 5: Solve for x
    x = 9,049,950,305.52/126,503.60
  6. Step 6: Final answer
    x = 71,539.07

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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.