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Finding the Fourth Proportional to 71,108.90, 106,663.34 and 21,187.70

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Solution

The fourth proportional to 71,108.90, 106,663.34 and 21,187.70 is: 31,781.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,108.90 : 106,663.34 = 21,187.70 : x
  2. Step 2: Convert to fraction form
    71,108.90/106,663.34 = 21,187.70/x
  3. Step 3: Cross multiply
    71,108.90x = 106,663.34 × 21,187.70
  4. Step 4: Simplify right side
    71,108.90x = 2,259,950,848.92
  5. Step 5: Solve for x
    x = 2,259,950,848.92/71,108.90
  6. Step 6: Final answer
    x = 31,781.55

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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.