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Finding the Fourth Proportional to 72,687.90, 109,066.26 and 30,577.20

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Solution

The fourth proportional to 72,687.90, 109,066.26 and 30,577.20 is: 45,880.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,687.90 : 109,066.26 = 30,577.20 : x
  2. Step 2: Convert to fraction form
    72,687.90/109,066.26 = 30,577.20/x
  3. Step 3: Cross multiply
    72,687.90x = 109,066.26 × 30,577.20
  4. Step 4: Simplify right side
    72,687.90x = 3,334,940,845.27
  5. Step 5: Solve for x
    x = 3,334,940,845.27/72,687.90
  6. Step 6: Final answer
    x = 45,880.28

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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.