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Finding the Fourth Proportional to 72,821.97, 109,275.41 and 30,699.47

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Solution

The fourth proportional to 72,821.97, 109,275.41 and 30,699.47 is: 46,067.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,821.97 : 109,275.41 = 30,699.47 : x
  2. Step 2: Convert to fraction form
    72,821.97/109,275.41 = 30,699.47/x
  3. Step 3: Cross multiply
    72,821.97x = 109,275.41 × 30,699.47
  4. Step 4: Simplify right side
    72,821.97x = 3,354,697,520.97
  5. Step 5: Solve for x
    x = 3,354,697,520.97/72,821.97
  6. Step 6: Final answer
    x = 46,067.11

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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.