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Finding the Fourth Proportional to 71,209, 106,814.94 and 21,961

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Solution

The fourth proportional to 71,209, 106,814.94 and 21,961 is: 32,941.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,209 : 106,814.94 = 21,961 : x
  2. Step 2: Convert to fraction form
    71,209/106,814.94 = 21,961/x
  3. Step 3: Cross multiply
    71,209x = 106,814.94 × 21,961
  4. Step 4: Simplify right side
    71,209x = 2,345,762,897.34
  5. Step 5: Solve for x
    x = 2,345,762,897.34/71,209
  6. Step 6: Final answer
    x = 32,941.94

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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.