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Finding the Fourth Proportional to 45,886.80, 68,822 and 12,153.06

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Solution

The fourth proportional to 45,886.80, 68,822 and 12,153.06 is: 18,227.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,886.80 : 68,822 = 12,153.06 : x
  2. Step 2: Convert to fraction form
    45,886.80/68,822 = 12,153.06/x
  3. Step 3: Cross multiply
    45,886.80x = 68,822 × 12,153.06
  4. Step 4: Simplify right side
    45,886.80x = 836,397,895.32
  5. Step 5: Solve for x
    x = 836,397,895.32/45,886.80
  6. Step 6: Final answer
    x = 18,227.42

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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.