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Finding the Fourth Proportional to 74,571.62, 102,911.28 and 42,746.54

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Solution

The fourth proportional to 74,571.62, 102,911.28 and 42,746.54 is: 58,991.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,571.62 : 102,911.28 = 42,746.54 : x
  2. Step 2: Convert to fraction form
    74,571.62/102,911.28 = 42,746.54/x
  3. Step 3: Cross multiply
    74,571.62x = 102,911.28 × 42,746.54
  4. Step 4: Simplify right side
    74,571.62x = 4,399,101,146.97
  5. Step 5: Solve for x
    x = 4,399,101,146.97/74,571.62
  6. Step 6: Final answer
    x = 58,991.63

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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.