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Finding the Fourth Proportional to 272,121.60, 408,186.60 and 103,651.32

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Solution

The fourth proportional to 272,121.60, 408,186.60 and 103,651.32 is: 155,478.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,121.60 : 408,186.60 = 103,651.32 : x
  2. Step 2: Convert to fraction form
    272,121.60/408,186.60 = 103,651.32/x
  3. Step 3: Cross multiply
    272,121.60x = 408,186.60 × 103,651.32
  4. Step 4: Simplify right side
    272,121.60x = 42,309,079,896.31
  5. Step 5: Solve for x
    x = 42,309,079,896.31/272,121.60
  6. Step 6: Final answer
    x = 155,478.58

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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.