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Finding the Fourth Proportional to 71,603.25, 107,384.22 and 21,671.61

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Solution

The fourth proportional to 71,603.25, 107,384.22 and 21,671.61 is: 32,501.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,603.25 : 107,384.22 = 21,671.61 : x
  2. Step 2: Convert to fraction form
    71,603.25/107,384.22 = 21,671.61/x
  3. Step 3: Cross multiply
    71,603.25x = 107,384.22 × 21,671.61
  4. Step 4: Simplify right side
    71,603.25x = 2,327,188,935.99
  5. Step 5: Solve for x
    x = 2,327,188,935.99/71,603.25
  6. Step 6: Final answer
    x = 32,501.16

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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.