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Finding the Fourth Proportional to 70,884.62, 106,346.63 and 30,907.09

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Solution

The fourth proportional to 70,884.62, 106,346.63 and 30,907.09 is: 46,369.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,884.62 : 106,346.63 = 30,907.09 : x
  2. Step 2: Convert to fraction form
    70,884.62/106,346.63 = 30,907.09/x
  3. Step 3: Cross multiply
    70,884.62x = 106,346.63 × 30,907.09
  4. Step 4: Simplify right side
    70,884.62x = 3,286,864,444.20
  5. Step 5: Solve for x
    x = 3,286,864,444.20/70,884.62
  6. Step 6: Final answer
    x = 46,369.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.