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Finding the Fourth Proportional to 197,472.80, 296,077.92 and 108,768

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Solution

The fourth proportional to 197,472.80, 296,077.92 and 108,768 is: 163,079.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,472.80 : 296,077.92 = 108,768 : x
  2. Step 2: Convert to fraction form
    197,472.80/296,077.92 = 108,768/x
  3. Step 3: Cross multiply
    197,472.80x = 296,077.92 × 108,768
  4. Step 4: Simplify right side
    197,472.80x = 32,203,803,202.56
  5. Step 5: Solve for x
    x = 32,203,803,202.56/197,472.80
  6. Step 6: Final answer
    x = 163,079.69

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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.