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Finding the Fourth Proportional to 147,644.37, 203,749.16 and 80,576.37

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Solution

The fourth proportional to 147,644.37, 203,749.16 and 80,576.37 is: 111,195.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,644.37 : 203,749.16 = 80,576.37 : x
  2. Step 2: Convert to fraction form
    147,644.37/203,749.16 = 80,576.37/x
  3. Step 3: Cross multiply
    147,644.37x = 203,749.16 × 80,576.37
  4. Step 4: Simplify right side
    147,644.37x = 16,417,367,300.47
  5. Step 5: Solve for x
    x = 16,417,367,300.47/147,644.37
  6. Step 6: Final answer
    x = 111,195.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.