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Finding the Fourth Proportional to 43,425.36, 65,140.56 and 12,258

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Solution

The fourth proportional to 43,425.36, 65,140.56 and 12,258 is: 18,387.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,425.36 : 65,140.56 = 12,258 : x
  2. Step 2: Convert to fraction form
    43,425.36/65,140.56 = 12,258/x
  3. Step 3: Cross multiply
    43,425.36x = 65,140.56 × 12,258
  4. Step 4: Simplify right side
    43,425.36x = 798,492,984.48
  5. Step 5: Solve for x
    x = 798,492,984.48/43,425.36
  6. Step 6: Final answer
    x = 18,387.71

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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.