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Finding the Fourth Proportional to 103,455.72, 155,195.73 and 36,905.31

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Solution

The fourth proportional to 103,455.72, 155,195.73 and 36,905.31 is: 55,362.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,455.72 : 155,195.73 = 36,905.31 : x
  2. Step 2: Convert to fraction form
    103,455.72/155,195.73 = 36,905.31/x
  3. Step 3: Cross multiply
    103,455.72x = 155,195.73 × 36,905.31
  4. Step 4: Simplify right side
    103,455.72x = 5,727,546,526.33
  5. Step 5: Solve for x
    x = 5,727,546,526.33/103,455.72
  6. Step 6: Final answer
    x = 55,362.30

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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.