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Finding the Fourth Proportional to 53,279.86, 79,896.54 and 28,313.86

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Solution

The fourth proportional to 53,279.86, 79,896.54 and 28,313.86 is: 42,458.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,279.86 : 79,896.54 = 28,313.86 : x
  2. Step 2: Convert to fraction form
    53,279.86/79,896.54 = 28,313.86/x
  3. Step 3: Cross multiply
    53,279.86x = 79,896.54 × 28,313.86
  4. Step 4: Simplify right side
    53,279.86x = 2,262,179,448.04
  5. Step 5: Solve for x
    x = 2,262,179,448.04/53,279.86
  6. Step 6: Final answer
    x = 42,458.43

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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.