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Finding the Fourth Proportional to 103,971.20, 155,665.20 and 101,055.20

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Solution

The fourth proportional to 103,971.20, 155,665.20 and 101,055.20 is: 151,299.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,971.20 : 155,665.20 = 101,055.20 : x
  2. Step 2: Convert to fraction form
    103,971.20/155,665.20 = 101,055.20/x
  3. Step 3: Cross multiply
    103,971.20x = 155,665.20 × 101,055.20
  4. Step 4: Simplify right side
    103,971.20x = 15,730,777,919.04
  5. Step 5: Solve for x
    x = 15,730,777,919.04/103,971.20
  6. Step 6: Final answer
    x = 151,299.38

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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.