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Finding the Fourth Proportional to 101,198.46, 139,595.34 and 65,388.48

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Solution

The fourth proportional to 101,198.46, 139,595.34 and 65,388.48 is: 90,198.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,198.46 : 139,595.34 = 65,388.48 : x
  2. Step 2: Convert to fraction form
    101,198.46/139,595.34 = 65,388.48/x
  3. Step 3: Cross multiply
    101,198.46x = 139,595.34 × 65,388.48
  4. Step 4: Simplify right side
    101,198.46x = 9,127,926,328.99
  5. Step 5: Solve for x
    x = 9,127,926,328.99/101,198.46
  6. Step 6: Final answer
    x = 90,198.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.