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Finding the Fourth Proportional to 74,183, 102,372.58 and 40,649

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Solution

The fourth proportional to 74,183, 102,372.58 and 40,649 is: 56,095.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,183 : 102,372.58 = 40,649 : x
  2. Step 2: Convert to fraction form
    74,183/102,372.58 = 40,649/x
  3. Step 3: Cross multiply
    74,183x = 102,372.58 × 40,649
  4. Step 4: Simplify right side
    74,183x = 4,161,343,004.42
  5. Step 5: Solve for x
    x = 4,161,343,004.42/74,183
  6. Step 6: Final answer
    x = 56,095.64

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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.