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Finding the Fourth Proportional to 216,491.64, 298,748.16 and 120,997.56

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Solution

The fourth proportional to 216,491.64, 298,748.16 and 120,997.56 is: 166,970.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,491.64 : 298,748.16 = 120,997.56 : x
  2. Step 2: Convert to fraction form
    216,491.64/298,748.16 = 120,997.56/x
  3. Step 3: Cross multiply
    216,491.64x = 298,748.16 × 120,997.56
  4. Step 4: Simplify right side
    216,491.64x = 36,147,798,414.49
  5. Step 5: Solve for x
    x = 36,147,798,414.49/216,491.64
  6. Step 6: Final answer
    x = 166,970.87

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1.5x scale

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.