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Finding the Fourth Proportional to 30,144, 41,599.22 and 16,715.82

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Solution

The fourth proportional to 30,144, 41,599.22 and 16,715.82 is: 23,068.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,144 : 41,599.22 = 16,715.82 : x
  2. Step 2: Convert to fraction form
    30,144/41,599.22 = 16,715.82/x
  3. Step 3: Cross multiply
    30,144x = 41,599.22 × 16,715.82
  4. Step 4: Simplify right side
    30,144x = 695,365,073.66
  5. Step 5: Solve for x
    x = 695,365,073.66/30,144
  6. Step 6: Final answer
    x = 23,068.11

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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.