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Finding the Fourth Proportional to 103,664.72, 155,464.02 and 40,469.50

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Solution

The fourth proportional to 103,664.72, 155,464.02 and 40,469.50 is: 60,691.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,664.72 : 155,464.02 = 40,469.50 : x
  2. Step 2: Convert to fraction form
    103,664.72/155,464.02 = 40,469.50/x
  3. Step 3: Cross multiply
    103,664.72x = 155,464.02 × 40,469.50
  4. Step 4: Simplify right side
    103,664.72x = 6,291,551,157.39
  5. Step 5: Solve for x
    x = 6,291,551,157.39/103,664.72
  6. Step 6: Final answer
    x = 60,691.34

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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.