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Finding the Fourth Proportional to 219,144, 302,418.99 and 118,542

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Solution

The fourth proportional to 219,144, 302,418.99 and 118,542 is: 163,588.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,144 : 302,418.99 = 118,542 : x
  2. Step 2: Convert to fraction form
    219,144/302,418.99 = 118,542/x
  3. Step 3: Cross multiply
    219,144x = 302,418.99 × 118,542
  4. Step 4: Simplify right side
    219,144x = 35,849,351,912.58
  5. Step 5: Solve for x
    x = 35,849,351,912.58/219,144
  6. Step 6: Final answer
    x = 163,588.11

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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.