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Finding the Fourth Proportional to 216,119.36, 298,259.52 and 120,644.64

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Solution

The fourth proportional to 216,119.36, 298,259.52 and 120,644.64 is: 166,497.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,119.36 : 298,259.52 = 120,644.64 : x
  2. Step 2: Convert to fraction form
    216,119.36/298,259.52 = 120,644.64/x
  3. Step 3: Cross multiply
    216,119.36x = 298,259.52 × 120,644.64
  4. Step 4: Simplify right side
    216,119.36x = 35,983,412,416.97
  5. Step 5: Solve for x
    x = 35,983,412,416.97/216,119.36
  6. Step 6: Final answer
    x = 166,497.87

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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.