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Finding the Fourth Proportional to 74,960.16, 103,440.96 and 41,424

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Solution

The fourth proportional to 74,960.16, 103,440.96 and 41,424 is: 57,162.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,960.16 : 103,440.96 = 41,424 : x
  2. Step 2: Convert to fraction form
    74,960.16/103,440.96 = 41,424/x
  3. Step 3: Cross multiply
    74,960.16x = 103,440.96 × 41,424
  4. Step 4: Simplify right side
    74,960.16x = 4,284,938,327.04
  5. Step 5: Solve for x
    x = 4,284,938,327.04/74,960.16
  6. Step 6: Final answer
    x = 57,162.88

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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.