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Finding the Fourth Proportional to 45,119.36, 67,676.16 and 13,952

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Solution

The fourth proportional to 45,119.36, 67,676.16 and 13,952 is: 20,927.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,119.36 : 67,676.16 = 13,952 : x
  2. Step 2: Convert to fraction form
    45,119.36/67,676.16 = 13,952/x
  3. Step 3: Cross multiply
    45,119.36x = 67,676.16 × 13,952
  4. Step 4: Simplify right side
    45,119.36x = 944,217,784.32
  5. Step 5: Solve for x
    x = 944,217,784.32/45,119.36
  6. Step 6: Final answer
    x = 20,927.11

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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.