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Finding the Fourth Proportional to 74,381.96, 102,647.10 and 40,390.28

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Solution

The fourth proportional to 74,381.96, 102,647.10 and 40,390.28 is: 55,738.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,381.96 : 102,647.10 = 40,390.28 : x
  2. Step 2: Convert to fraction form
    74,381.96/102,647.10 = 40,390.28/x
  3. Step 3: Cross multiply
    74,381.96x = 102,647.10 × 40,390.28
  4. Step 4: Simplify right side
    74,381.96x = 4,145,945,110.19
  5. Step 5: Solve for x
    x = 4,145,945,110.19/74,381.96
  6. Step 6: Final answer
    x = 55,738.58

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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.