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Finding the Fourth Proportional to 126,491.60, 189,810.30 and 47,662.40

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Solution

The fourth proportional to 126,491.60, 189,810.30 and 47,662.40 is: 71,521.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,491.60 : 189,810.30 = 47,662.40 : x
  2. Step 2: Convert to fraction form
    126,491.60/189,810.30 = 47,662.40/x
  3. Step 3: Cross multiply
    126,491.60x = 189,810.30 × 47,662.40
  4. Step 4: Simplify right side
    126,491.60x = 9,046,814,442.72
  5. Step 5: Solve for x
    x = 9,046,814,442.72/126,491.60
  6. Step 6: Final answer
    x = 71,521.07

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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.