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Finding the Fourth Proportional to 45,800, 68,709.80 and 14,209.38

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Solution

The fourth proportional to 45,800, 68,709.80 and 14,209.38 is: 21,317.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,800 : 68,709.80 = 14,209.38 : x
  2. Step 2: Convert to fraction form
    45,800/68,709.80 = 14,209.38/x
  3. Step 3: Cross multiply
    45,800x = 68,709.80 × 14,209.38
  4. Step 4: Simplify right side
    45,800x = 976,323,657.92
  5. Step 5: Solve for x
    x = 976,323,657.92/45,800
  6. Step 6: Final answer
    x = 21,317.11

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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.