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Finding the Fourth Proportional to 102,642.72, 153,847.36 and 43,441.44

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Solution

The fourth proportional to 102,642.72, 153,847.36 and 43,441.44 is: 65,112.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,642.72 : 153,847.36 = 43,441.44 : x
  2. Step 2: Convert to fraction form
    102,642.72/153,847.36 = 43,441.44/x
  3. Step 3: Cross multiply
    102,642.72x = 153,847.36 × 43,441.44
  4. Step 4: Simplify right side
    102,642.72x = 6,683,350,858.60
  5. Step 5: Solve for x
    x = 6,683,350,858.60/102,642.72
  6. Step 6: Final answer
    x = 65,112.76

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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.