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Finding the Fourth Proportional to 70,796.36, 106,210.11 and 30,821.72

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Solution

The fourth proportional to 70,796.36, 106,210.11 and 30,821.72 is: 46,239.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,796.36 : 106,210.11 = 30,821.72 : x
  2. Step 2: Convert to fraction form
    70,796.36/106,210.11 = 30,821.72/x
  3. Step 3: Cross multiply
    70,796.36x = 106,210.11 × 30,821.72
  4. Step 4: Simplify right side
    70,796.36x = 3,273,577,740.54
  5. Step 5: Solve for x
    x = 3,273,577,740.54/70,796.36
  6. Step 6: Final answer
    x = 46,239.35

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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.