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Finding the Fourth Proportional to 98,800, 148,199.77 and 76,343.34

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Solution

The fourth proportional to 98,800, 148,199.77 and 76,343.34 is: 114,514.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,800 : 148,199.77 = 76,343.34 : x
  2. Step 2: Convert to fraction form
    98,800/148,199.77 = 76,343.34/x
  3. Step 3: Cross multiply
    98,800x = 148,199.77 × 76,343.34
  4. Step 4: Simplify right side
    98,800x = 11,314,065,429.03
  5. Step 5: Solve for x
    x = 11,314,065,429.03/98,800
  6. Step 6: Final answer
    x = 114,514.83

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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.