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Finding the Fourth Proportional to 68,812, 103,235.34 and 19,564

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Solution

The fourth proportional to 68,812, 103,235.34 and 19,564 is: 29,350.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,812 : 103,235.34 = 19,564 : x
  2. Step 2: Convert to fraction form
    68,812/103,235.34 = 19,564/x
  3. Step 3: Cross multiply
    68,812x = 103,235.34 × 19,564
  4. Step 4: Simplify right side
    68,812x = 2,019,696,191.76
  5. Step 5: Solve for x
    x = 2,019,696,191.76/68,812
  6. Step 6: Final answer
    x = 29,350.93

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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.