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Finding the Fourth Proportional to 71,329.74, 106,994.35 and 21,409.62

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Solution

The fourth proportional to 71,329.74, 106,994.35 and 21,409.62 is: 32,114.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,329.74 : 106,994.35 = 21,409.62 : x
  2. Step 2: Convert to fraction form
    71,329.74/106,994.35 = 21,409.62/x
  3. Step 3: Cross multiply
    71,329.74x = 106,994.35 × 21,409.62
  4. Step 4: Simplify right side
    71,329.74x = 2,290,707,733.63
  5. Step 5: Solve for x
    x = 2,290,707,733.63/71,329.74
  6. Step 6: Final answer
    x = 32,114.35

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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.