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Finding the Fourth Proportional to 74,568.62, 102,907.14 and 42,743.54

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Solution

The fourth proportional to 74,568.62, 102,907.14 and 42,743.54 is: 58,987.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,568.62 : 102,907.14 = 42,743.54 : x
  2. Step 2: Convert to fraction form
    74,568.62/102,907.14 = 42,743.54/x
  3. Step 3: Cross multiply
    74,568.62x = 102,907.14 × 42,743.54
  4. Step 4: Simplify right side
    74,568.62x = 4,398,615,454.88
  5. Step 5: Solve for x
    x = 4,398,615,454.88/74,568.62
  6. Step 6: Final answer
    x = 58,987.49

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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.