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Finding the Fourth Proportional to 45,967.68, 68,949 and 12,687.96

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Solution

The fourth proportional to 45,967.68, 68,949 and 12,687.96 is: 19,031.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,967.68 : 68,949 = 12,687.96 : x
  2. Step 2: Convert to fraction form
    45,967.68/68,949 = 12,687.96/x
  3. Step 3: Cross multiply
    45,967.68x = 68,949 × 12,687.96
  4. Step 4: Simplify right side
    45,967.68x = 874,822,154.04
  5. Step 5: Solve for x
    x = 874,822,154.04/45,967.68
  6. Step 6: Final answer
    x = 19,031.24

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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.