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Finding the Fourth Proportional to 43,781.40, 65,672.10 and 12,619.80

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Solution

The fourth proportional to 43,781.40, 65,672.10 and 12,619.80 is: 18,929.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,781.40 : 65,672.10 = 12,619.80 : x
  2. Step 2: Convert to fraction form
    43,781.40/65,672.10 = 12,619.80/x
  3. Step 3: Cross multiply
    43,781.40x = 65,672.10 × 12,619.80
  4. Step 4: Simplify right side
    43,781.40x = 828,768,767.58
  5. Step 5: Solve for x
    x = 828,768,767.58/43,781.40
  6. Step 6: Final answer
    x = 18,929.70

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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.