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Finding the Fourth Proportional to 126,489.60, 189,807.30 and 47,660.40

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Solution

The fourth proportional to 126,489.60, 189,807.30 and 47,660.40 is: 71,518.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,489.60 : 189,807.30 = 47,660.40 : x
  2. Step 2: Convert to fraction form
    126,489.60/189,807.30 = 47,660.40/x
  3. Step 3: Cross multiply
    126,489.60x = 189,807.30 × 47,660.40
  4. Step 4: Simplify right side
    126,489.60x = 9,046,291,840.92
  5. Step 5: Solve for x
    x = 9,046,291,840.92/126,489.60
  6. Step 6: Final answer
    x = 71,518.07

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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.