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Finding the Fourth Proportional to 36,070, 54,105 and 12,693.76

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Solution

The fourth proportional to 36,070, 54,105 and 12,693.76 is: 19,040.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,070 : 54,105 = 12,693.76 : x
  2. Step 2: Convert to fraction form
    36,070/54,105 = 12,693.76/x
  3. Step 3: Cross multiply
    36,070x = 54,105 × 12,693.76
  4. Step 4: Simplify right side
    36,070x = 686,795,884.80
  5. Step 5: Solve for x
    x = 686,795,884.80/36,070
  6. Step 6: Final answer
    x = 19,040.64

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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.