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Finding the Fourth Proportional to 74,604.75, 102,954.56 and 42,784.17

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Solution

The fourth proportional to 74,604.75, 102,954.56 and 42,784.17 is: 59,042.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,604.75 : 102,954.56 = 42,784.17 : x
  2. Step 2: Convert to fraction form
    74,604.75/102,954.56 = 42,784.17/x
  3. Step 3: Cross multiply
    74,604.75x = 102,954.56 × 42,784.17
  4. Step 4: Simplify right side
    74,604.75x = 4,404,825,183.39
  5. Step 5: Solve for x
    x = 4,404,825,183.39/74,604.75
  6. Step 6: Final answer
    x = 59,042.15

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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.