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Finding the Fourth Proportional to 216,435.16, 298,674.79 and 120,942.64

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Solution

The fourth proportional to 216,435.16, 298,674.79 and 120,942.64 is: 166,897.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,435.16 : 298,674.79 = 120,942.64 : x
  2. Step 2: Convert to fraction form
    216,435.16/298,674.79 = 120,942.64/x
  3. Step 3: Cross multiply
    216,435.16x = 298,674.79 × 120,942.64
  4. Step 4: Simplify right side
    216,435.16x = 36,122,518,355.33
  5. Step 5: Solve for x
    x = 36,122,518,355.33/216,435.16
  6. Step 6: Final answer
    x = 166,897.64

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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.