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Finding the Fourth Proportional to 52,090.36, 71,880.42 and 29,431.32

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Solution

The fourth proportional to 52,090.36, 71,880.42 and 29,431.32 is: 40,612.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,090.36 : 71,880.42 = 29,431.32 : x
  2. Step 2: Convert to fraction form
    52,090.36/71,880.42 = 29,431.32/x
  3. Step 3: Cross multiply
    52,090.36x = 71,880.42 × 29,431.32
  4. Step 4: Simplify right side
    52,090.36x = 2,115,535,642.75
  5. Step 5: Solve for x
    x = 2,115,535,642.75/52,090.36
  6. Step 6: Final answer
    x = 40,612.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.