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Finding the Fourth Proportional to 53,142.87, 73,340.49 and 29,269.54

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Solution

The fourth proportional to 53,142.87, 73,340.49 and 29,269.54 is: 40,393.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,142.87 : 73,340.49 = 29,269.54 : x
  2. Step 2: Convert to fraction form
    53,142.87/73,340.49 = 29,269.54/x
  3. Step 3: Cross multiply
    53,142.87x = 73,340.49 × 29,269.54
  4. Step 4: Simplify right side
    53,142.87x = 2,146,642,607.11
  5. Step 5: Solve for x
    x = 2,146,642,607.11/53,142.87
  6. Step 6: Final answer
    x = 40,393.80

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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.