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Finding the Fourth Proportional to 101,198.30, 139,649.85 and 55,875.29

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Solution

The fourth proportional to 101,198.30, 139,649.85 and 55,875.29 is: 77,105.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,198.30 : 139,649.85 = 55,875.29 : x
  2. Step 2: Convert to fraction form
    101,198.30/139,649.85 = 55,875.29/x
  3. Step 3: Cross multiply
    101,198.30x = 139,649.85 × 55,875.29
  4. Step 4: Simplify right side
    101,198.30x = 7,802,975,168.96
  5. Step 5: Solve for x
    x = 7,802,975,168.96/101,198.30
  6. Step 6: Final answer
    x = 77,105.80

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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.