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Finding the Fourth Proportional to 68,275.89, 102,431.10 and 19,027.89

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Solution

The fourth proportional to 68,275.89, 102,431.10 and 19,027.89 is: 28,546.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,275.89 : 102,431.10 = 19,027.89 : x
  2. Step 2: Convert to fraction form
    68,275.89/102,431.10 = 19,027.89/x
  3. Step 3: Cross multiply
    68,275.89x = 102,431.10 × 19,027.89
  4. Step 4: Simplify right side
    68,275.89x = 1,949,047,703.38
  5. Step 5: Solve for x
    x = 1,949,047,703.38/68,275.89
  6. Step 6: Final answer
    x = 28,546.65

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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.