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Finding the Fourth Proportional to 68,189.58, 102,300.46 and 21,442.46

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Solution

The fourth proportional to 68,189.58, 102,300.46 and 21,442.46 is: 32,168.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,189.58 : 102,300.46 = 21,442.46 : x
  2. Step 2: Convert to fraction form
    68,189.58/102,300.46 = 21,442.46/x
  3. Step 3: Cross multiply
    68,189.58x = 102,300.46 × 21,442.46
  4. Step 4: Simplify right side
    68,189.58x = 2,193,572,956.42
  5. Step 5: Solve for x
    x = 2,193,572,956.42/68,189.58
  6. Step 6: Final answer
    x = 32,168.74

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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.