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Finding the Fourth Proportional to 72,906.44, 99,954.72 and 71,577.84

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Solution

The fourth proportional to 72,906.44, 99,954.72 and 71,577.84 is: 98,133.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,906.44 : 99,954.72 = 71,577.84 : x
  2. Step 2: Convert to fraction form
    72,906.44/99,954.72 = 71,577.84/x
  3. Step 3: Cross multiply
    72,906.44x = 99,954.72 × 71,577.84
  4. Step 4: Simplify right side
    72,906.44x = 7,154,542,955.40
  5. Step 5: Solve for x
    x = 7,154,542,955.40/72,906.44
  6. Step 6: Final answer
    x = 98,133.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.