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Finding the Fourth Proportional to 216,516.36, 324,787.83 and 83,397.01

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Solution

The fourth proportional to 216,516.36, 324,787.83 and 83,397.01 is: 125,100.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,516.36 : 324,787.83 = 83,397.01 : x
  2. Step 2: Convert to fraction form
    216,516.36/324,787.83 = 83,397.01/x
  3. Step 3: Cross multiply
    216,516.36x = 324,787.83 × 83,397.01
  4. Step 4: Simplify right side
    216,516.36x = 27,086,333,906.39
  5. Step 5: Solve for x
    x = 27,086,333,906.39/216,516.36
  6. Step 6: Final answer
    x = 125,100.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.