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Finding the Fourth Proportional to 71,981.40, 107,972.10 and 65,092.35

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Solution

The fourth proportional to 71,981.40, 107,972.10 and 65,092.35 is: 97,638.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,981.40 : 107,972.10 = 65,092.35 : x
  2. Step 2: Convert to fraction form
    71,981.40/107,972.10 = 65,092.35/x
  3. Step 3: Cross multiply
    71,981.40x = 107,972.10 × 65,092.35
  4. Step 4: Simplify right side
    71,981.40x = 7,028,157,723.44
  5. Step 5: Solve for x
    x = 7,028,157,723.44/71,981.40
  6. Step 6: Final answer
    x = 97,638.53

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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.