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Finding the Fourth Proportional to 72,653.22, 109,007.78 and 28,311.39

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Solution

The fourth proportional to 72,653.22, 109,007.78 and 28,311.39 is: 42,477.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,653.22 : 109,007.78 = 28,311.39 : x
  2. Step 2: Convert to fraction form
    72,653.22/109,007.78 = 28,311.39/x
  3. Step 3: Cross multiply
    72,653.22x = 109,007.78 × 28,311.39
  4. Step 4: Simplify right side
    72,653.22x = 3,086,161,631.06
  5. Step 5: Solve for x
    x = 3,086,161,631.06/72,653.22
  6. Step 6: Final answer
    x = 42,477.97

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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.