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Finding the Fourth Proportional to 72,821.94, 109,202.01 and 30,720.90

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Solution

The fourth proportional to 72,821.94, 109,202.01 and 30,720.90 is: 46,068.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,821.94 : 109,202.01 = 30,720.90 : x
  2. Step 2: Convert to fraction form
    72,821.94/109,202.01 = 30,720.90/x
  3. Step 3: Cross multiply
    72,821.94x = 109,202.01 × 30,720.90
  4. Step 4: Simplify right side
    72,821.94x = 3,354,784,029.01
  5. Step 5: Solve for x
    x = 3,354,784,029.01/72,821.94
  6. Step 6: Final answer
    x = 46,068.31

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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.