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Finding the Fourth Proportional to 102,410.80, 153,846.60 and 71,306.80

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Solution

The fourth proportional to 102,410.80, 153,846.60 and 71,306.80 is: 107,120.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,410.80 : 153,846.60 = 71,306.80 : x
  2. Step 2: Convert to fraction form
    102,410.80/153,846.60 = 71,306.80/x
  3. Step 3: Cross multiply
    102,410.80x = 153,846.60 × 71,306.80
  4. Step 4: Simplify right side
    102,410.80x = 10,970,308,736.88
  5. Step 5: Solve for x
    x = 10,970,308,736.88/102,410.80
  6. Step 6: Final answer
    x = 107,120.62

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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.