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Finding the Fourth Proportional to 216,643.84, 324,872.82 and 74,503.42

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Solution

The fourth proportional to 216,643.84, 324,872.82 and 74,503.42 is: 111,723.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,643.84 : 324,872.82 = 74,503.42 : x
  2. Step 2: Convert to fraction form
    216,643.84/324,872.82 = 74,503.42/x
  3. Step 3: Cross multiply
    216,643.84x = 324,872.82 × 74,503.42
  4. Step 4: Simplify right side
    216,643.84x = 24,204,136,155.04
  5. Step 5: Solve for x
    x = 24,204,136,155.04/216,643.84
  6. Step 6: Final answer
    x = 111,723.17

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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.