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Finding the Fourth Proportional to 43,855, 65,785.76 and 14,270.56

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Solution

The fourth proportional to 43,855, 65,785.76 and 14,270.56 is: 21,406.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,855 : 65,785.76 = 14,270.56 : x
  2. Step 2: Convert to fraction form
    43,855/65,785.76 = 14,270.56/x
  3. Step 3: Cross multiply
    43,855x = 65,785.76 × 14,270.56
  4. Step 4: Simplify right side
    43,855x = 938,799,635.23
  5. Step 5: Solve for x
    x = 938,799,635.23/43,855
  6. Step 6: Final answer
    x = 21,406.90

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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.