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Finding the Fourth Proportional to 45,405.32, 68,107.98 and 14,243

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Solution

The fourth proportional to 45,405.32, 68,107.98 and 14,243 is: 21,364.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,405.32 : 68,107.98 = 14,243 : x
  2. Step 2: Convert to fraction form
    45,405.32/68,107.98 = 14,243/x
  3. Step 3: Cross multiply
    45,405.32x = 68,107.98 × 14,243
  4. Step 4: Simplify right side
    45,405.32x = 970,061,959.14
  5. Step 5: Solve for x
    x = 970,061,959.14/45,405.32
  6. Step 6: Final answer
    x = 21,364.50

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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.