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Finding the Fourth Proportional to 45,546, 68,319.12 and 12,714

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Solution

The fourth proportional to 45,546, 68,319.12 and 12,714 is: 19,071.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,546 : 68,319.12 = 12,714 : x
  2. Step 2: Convert to fraction form
    45,546/68,319.12 = 12,714/x
  3. Step 3: Cross multiply
    45,546x = 68,319.12 × 12,714
  4. Step 4: Simplify right side
    45,546x = 868,609,291.68
  5. Step 5: Solve for x
    x = 868,609,291.68/45,546
  6. Step 6: Final answer
    x = 19,071.03

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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.