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Finding the Fourth Proportional to 74,334, 102,581.69 and 40,342.78

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Solution

The fourth proportional to 74,334, 102,581.69 and 40,342.78 is: 55,673.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,334 : 102,581.69 = 40,342.78 : x
  2. Step 2: Convert to fraction form
    74,334/102,581.69 = 40,342.78/x
  3. Step 3: Cross multiply
    74,334x = 102,581.69 × 40,342.78
  4. Step 4: Simplify right side
    74,334x = 4,138,430,093.53
  5. Step 5: Solve for x
    x = 4,138,430,093.53/74,334
  6. Step 6: Final answer
    x = 55,673.45

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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.