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Finding the Fourth Proportional to 74,440, 102,727.20 and 40,906

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Solution

The fourth proportional to 74,440, 102,727.20 and 40,906 is: 56,450.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,440 : 102,727.20 = 40,906 : x
  2. Step 2: Convert to fraction form
    74,440/102,727.20 = 40,906/x
  3. Step 3: Cross multiply
    74,440x = 102,727.20 × 40,906
  4. Step 4: Simplify right side
    74,440x = 4,202,158,843.20
  5. Step 5: Solve for x
    x = 4,202,158,843.20/74,440
  6. Step 6: Final answer
    x = 56,450.28

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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.