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Finding the Fourth Proportional to 72,906.38, 99,954.64 and 71,577.78

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Solution

The fourth proportional to 72,906.38, 99,954.64 and 71,577.78 is: 98,133.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,906.38 : 99,954.64 = 71,577.78 : x
  2. Step 2: Convert to fraction form
    72,906.38/99,954.64 = 71,577.78/x
  3. Step 3: Cross multiply
    72,906.38x = 99,954.64 × 71,577.78
  4. Step 4: Simplify right side
    72,906.38x = 7,154,531,231.90
  5. Step 5: Solve for x
    x = 7,154,531,231.90/72,906.38
  6. Step 6: Final answer
    x = 98,133.13

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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.