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Finding the Fourth Proportional to 71,323.74, 106,985.50 and 21,403.75

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Solution

The fourth proportional to 71,323.74, 106,985.50 and 21,403.75 is: 32,105.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,323.74 : 106,985.50 = 21,403.75 : x
  2. Step 2: Convert to fraction form
    71,323.74/106,985.50 = 21,403.75/x
  3. Step 3: Cross multiply
    71,323.74x = 106,985.50 × 21,403.75
  4. Step 4: Simplify right side
    71,323.74x = 2,289,890,895.63
  5. Step 5: Solve for x
    x = 2,289,890,895.63/71,323.74
  6. Step 6: Final answer
    x = 32,105.59

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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.