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Finding the Fourth Proportional to 43,448.42, 65,177.76 and 13,855.88

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Solution

The fourth proportional to 43,448.42, 65,177.76 and 13,855.88 is: 20,785.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,448.42 : 65,177.76 = 13,855.88 : x
  2. Step 2: Convert to fraction form
    43,448.42/65,177.76 = 13,855.88/x
  3. Step 3: Cross multiply
    43,448.42x = 65,177.76 × 13,855.88
  4. Step 4: Simplify right side
    43,448.42x = 903,095,221.23
  5. Step 5: Solve for x
    x = 903,095,221.23/43,448.42
  6. Step 6: Final answer
    x = 20,785.46

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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.