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Finding the Fourth Proportional to 217,871.76, 300,695.76 and 133,037.76

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Solution

The fourth proportional to 217,871.76, 300,695.76 and 133,037.76 is: 183,612.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,871.76 : 300,695.76 = 133,037.76 : x
  2. Step 2: Convert to fraction form
    217,871.76/300,695.76 = 133,037.76/x
  3. Step 3: Cross multiply
    217,871.76x = 300,695.76 × 133,037.76
  4. Step 4: Simplify right side
    217,871.76x = 40,003,890,351.90
  5. Step 5: Solve for x
    x = 40,003,890,351.90/217,871.76
  6. Step 6: Final answer
    x = 183,612.10

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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.