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Finding the Fourth Proportional to 68,303.61, 102,467.73 and 30,881.30

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Solution

The fourth proportional to 68,303.61, 102,467.73 and 30,881.30 is: 46,327.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,303.61 : 102,467.73 = 30,881.30 : x
  2. Step 2: Convert to fraction form
    68,303.61/102,467.73 = 30,881.30/x
  3. Step 3: Cross multiply
    68,303.61x = 102,467.73 × 30,881.30
  4. Step 4: Simplify right side
    68,303.61x = 3,164,336,198.11
  5. Step 5: Solve for x
    x = 3,164,336,198.11/68,303.61
  6. Step 6: Final answer
    x = 46,327.51

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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.