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Finding the Fourth Proportional to 68,614.08, 102,814.80 and 47,595

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Solution

The fourth proportional to 68,614.08, 102,814.80 and 47,595 is: 71,318.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,614.08 : 102,814.80 = 47,595 : x
  2. Step 2: Convert to fraction form
    68,614.08/102,814.80 = 47,595/x
  3. Step 3: Cross multiply
    68,614.08x = 102,814.80 × 47,595
  4. Step 4: Simplify right side
    68,614.08x = 4,893,470,406
  5. Step 5: Solve for x
    x = 4,893,470,406/68,614.08
  6. Step 6: Final answer
    x = 71,318.75

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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.