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Finding the Fourth Proportional to 74,504.98, 102,816.31 and 40,513.48

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Solution

The fourth proportional to 74,504.98, 102,816.31 and 40,513.48 is: 55,908.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,504.98 : 102,816.31 = 40,513.48 : x
  2. Step 2: Convert to fraction form
    74,504.98/102,816.31 = 40,513.48/x
  3. Step 3: Cross multiply
    74,504.98x = 102,816.31 × 40,513.48
  4. Step 4: Simplify right side
    74,504.98x = 4,165,446,518.86
  5. Step 5: Solve for x
    x = 4,165,446,518.86/74,504.98
  6. Step 6: Final answer
    x = 55,908.30

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Why These Related Problems?

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