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Finding the Fourth Proportional to 68,445.81, 102,652.92 and 30,980.68

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Solution

The fourth proportional to 68,445.81, 102,652.92 and 30,980.68 is: 46,463.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,445.81 : 102,652.92 = 30,980.68 : x
  2. Step 2: Convert to fraction form
    68,445.81/102,652.92 = 30,980.68/x
  3. Step 3: Cross multiply
    68,445.81x = 102,652.92 × 30,980.68
  4. Step 4: Simplify right side
    68,445.81x = 3,180,257,008.95
  5. Step 5: Solve for x
    x = 3,180,257,008.95/68,445.81
  6. Step 6: Final answer
    x = 46,463.87

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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.