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Finding the Fourth Proportional to 68,269.34, 102,409.14 and 21,521

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Solution

The fourth proportional to 68,269.34, 102,409.14 and 21,521 is: 32,283.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,269.34 : 102,409.14 = 21,521 : x
  2. Step 2: Convert to fraction form
    68,269.34/102,409.14 = 21,521/x
  3. Step 3: Cross multiply
    68,269.34x = 102,409.14 × 21,521
  4. Step 4: Simplify right side
    68,269.34x = 2,203,947,101.94
  5. Step 5: Solve for x
    x = 2,203,947,101.94/68,269.34
  6. Step 6: Final answer
    x = 32,283.12

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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.