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Finding the Fourth Proportional to 43,411.80, 65,095.82 and 21,191.88

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Solution

The fourth proportional to 43,411.80, 65,095.82 and 21,191.88 is: 31,777.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,411.80 : 65,095.82 = 21,191.88 : x
  2. Step 2: Convert to fraction form
    43,411.80/65,095.82 = 21,191.88/x
  3. Step 3: Cross multiply
    43,411.80x = 65,095.82 × 21,191.88
  4. Step 4: Simplify right side
    43,411.80x = 1,379,502,805.94
  5. Step 5: Solve for x
    x = 1,379,502,805.94/43,411.80
  6. Step 6: Final answer
    x = 31,777.14

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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.