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Finding the Fourth Proportional to 74,005.81, 102,126.49 and 40,471.81

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Solution

The fourth proportional to 74,005.81, 102,126.49 and 40,471.81 is: 55,850.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,005.81 : 102,126.49 = 40,471.81 : x
  2. Step 2: Convert to fraction form
    74,005.81/102,126.49 = 40,471.81/x
  3. Step 3: Cross multiply
    74,005.81x = 102,126.49 × 40,471.81
  4. Step 4: Simplify right side
    74,005.81x = 4,133,243,899.25
  5. Step 5: Solve for x
    x = 4,133,243,899.25/74,005.81
  6. Step 6: Final answer
    x = 55,850.26

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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.