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Finding the Fourth Proportional to 216,591.42, 324,942.48 and 83,435.97

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Solution

The fourth proportional to 216,591.42, 324,942.48 and 83,435.97 is: 125,175.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,591.42 : 324,942.48 = 83,435.97 : x
  2. Step 2: Convert to fraction form
    216,591.42/324,942.48 = 83,435.97/x
  3. Step 3: Cross multiply
    216,591.42x = 324,942.48 × 83,435.97
  4. Step 4: Simplify right side
    216,591.42x = 27,111,891,013.01
  5. Step 5: Solve for x
    x = 27,111,891,013.01/216,591.42
  6. Step 6: Final answer
    x = 125,175.28

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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.