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Finding the Fourth Proportional to 144,396.80, 216,389.84 and 68,414.34

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Solution

The fourth proportional to 144,396.80, 216,389.84 and 68,414.34 is: 102,524.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,396.80 : 216,389.84 = 68,414.34 : x
  2. Step 2: Convert to fraction form
    144,396.80/216,389.84 = 68,414.34/x
  3. Step 3: Cross multiply
    144,396.80x = 216,389.84 × 68,414.34
  4. Step 4: Simplify right side
    144,396.80x = 14,804,167,744.23
  5. Step 5: Solve for x
    x = 14,804,167,744.23/144,396.80
  6. Step 6: Final answer
    x = 102,524.21

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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.