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Finding the Fourth Proportional to 71,325.82, 106,999.16 and 21,409.86

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Solution

The fourth proportional to 71,325.82, 106,999.16 and 21,409.86 is: 32,117.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,325.82 : 106,999.16 = 21,409.86 : x
  2. Step 2: Convert to fraction form
    71,325.82/106,999.16 = 21,409.86/x
  3. Step 3: Cross multiply
    71,325.82x = 106,999.16 × 21,409.86
  4. Step 4: Simplify right side
    71,325.82x = 2,290,837,035.72
  5. Step 5: Solve for x
    x = 2,290,837,035.72/71,325.82
  6. Step 6: Final answer
    x = 32,117.92

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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.