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Finding the Fourth Proportional to 71,816.10, 107,657.73 and 36,678.30

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Solution

The fourth proportional to 71,816.10, 107,657.73 and 36,678.30 is: 54,983.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,816.10 : 107,657.73 = 36,678.30 : x
  2. Step 2: Convert to fraction form
    71,816.10/107,657.73 = 36,678.30/x
  3. Step 3: Cross multiply
    71,816.10x = 107,657.73 × 36,678.30
  4. Step 4: Simplify right side
    71,816.10x = 3,948,702,518.26
  5. Step 5: Solve for x
    x = 3,948,702,518.26/71,816.10
  6. Step 6: Final answer
    x = 54,983.53

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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.