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Finding the Fourth Proportional to 68,475.20, 102,729.12 and 21,728.06

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Solution

The fourth proportional to 68,475.20, 102,729.12 and 21,728.06 is: 32,597.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,475.20 : 102,729.12 = 21,728.06 : x
  2. Step 2: Convert to fraction form
    68,475.20/102,729.12 = 21,728.06/x
  3. Step 3: Cross multiply
    68,475.20x = 102,729.12 × 21,728.06
  4. Step 4: Simplify right side
    68,475.20x = 2,232,104,483.11
  5. Step 5: Solve for x
    x = 2,232,104,483.11/68,475.20
  6. Step 6: Final answer
    x = 32,597.27

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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.