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Finding the Fourth Proportional to 103,983.20, 155,683.20 and 101,067.20

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Solution

The fourth proportional to 103,983.20, 155,683.20 and 101,067.20 is: 151,317.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,983.20 : 155,683.20 = 101,067.20 : x
  2. Step 2: Convert to fraction form
    103,983.20/155,683.20 = 101,067.20/x
  3. Step 3: Cross multiply
    103,983.20x = 155,683.20 × 101,067.20
  4. Step 4: Simplify right side
    103,983.20x = 15,734,465,111.04
  5. Step 5: Solve for x
    x = 15,734,465,111.04/103,983.20
  6. Step 6: Final answer
    x = 151,317.38

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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.