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Finding the Fourth Proportional to 126,308, 189,463.08 and 43,202

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Solution

The fourth proportional to 126,308, 189,463.08 and 43,202 is: 64,803.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,308 : 189,463.08 = 43,202 : x
  2. Step 2: Convert to fraction form
    126,308/189,463.08 = 43,202/x
  3. Step 3: Cross multiply
    126,308x = 189,463.08 × 43,202
  4. Step 4: Simplify right side
    126,308x = 8,185,183,982.16
  5. Step 5: Solve for x
    x = 8,185,183,982.16/126,308
  6. Step 6: Final answer
    x = 64,803.37

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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.