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Finding the Fourth Proportional to 216,021.48, 298,080 and 120,509.70

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Solution

The fourth proportional to 216,021.48, 298,080 and 120,509.70 is: 166,286.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,021.48 : 298,080 = 120,509.70 : x
  2. Step 2: Convert to fraction form
    216,021.48/298,080 = 120,509.70/x
  3. Step 3: Cross multiply
    216,021.48x = 298,080 × 120,509.70
  4. Step 4: Simplify right side
    216,021.48x = 35,921,531,376
  5. Step 5: Solve for x
    x = 35,921,531,376/216,021.48
  6. Step 6: Final answer
    x = 166,286.85

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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.