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Finding the Fourth Proportional to 71,010, 106,515 and 21,762

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Solution

The fourth proportional to 71,010, 106,515 and 21,762 is: 32,643

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,010 : 106,515 = 21,762 : x
  2. Step 2: Convert to fraction form
    71,010/106,515 = 21,762/x
  3. Step 3: Cross multiply
    71,010x = 106,515 × 21,762
  4. Step 4: Simplify right side
    71,010x = 2,317,979,430
  5. Step 5: Solve for x
    x = 2,317,979,430/71,010
  6. Step 6: Final answer
    x = 32,643

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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.