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Finding the Fourth Proportional to 68,470.92, 102,706.36 and 25,784.38

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Solution

The fourth proportional to 68,470.92, 102,706.36 and 25,784.38 is: 38,676.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,470.92 : 102,706.36 = 25,784.38 : x
  2. Step 2: Convert to fraction form
    68,470.92/102,706.36 = 25,784.38/x
  3. Step 3: Cross multiply
    68,470.92x = 102,706.36 × 25,784.38
  4. Step 4: Simplify right side
    68,470.92x = 2,648,219,814.66
  5. Step 5: Solve for x
    x = 2,648,219,814.66/68,470.92
  6. Step 6: Final answer
    x = 38,676.56

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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.