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Finding the Fourth Proportional to 72,798.94, 109,186.26 and 20,213.74

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Solution

The fourth proportional to 72,798.94, 109,186.26 and 20,213.74 is: 30,317.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,798.94 : 109,186.26 = 20,213.74 : x
  2. Step 2: Convert to fraction form
    72,798.94/109,186.26 = 20,213.74/x
  3. Step 3: Cross multiply
    72,798.94x = 109,186.26 × 20,213.74
  4. Step 4: Simplify right side
    72,798.94x = 2,207,062,671.21
  5. Step 5: Solve for x
    x = 2,207,062,671.21/72,798.94
  6. Step 6: Final answer
    x = 30,317.24

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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.