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Finding the Fourth Proportional to 26,701.70, 39,978.72 and 20,107.89

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Solution

The fourth proportional to 26,701.70, 39,978.72 and 20,107.89 is: 30,106.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,701.70 : 39,978.72 = 20,107.89 : x
  2. Step 2: Convert to fraction form
    26,701.70/39,978.72 = 20,107.89/x
  3. Step 3: Cross multiply
    26,701.70x = 39,978.72 × 20,107.89
  4. Step 4: Simplify right side
    26,701.70x = 803,887,704.10
  5. Step 5: Solve for x
    x = 803,887,704.10/26,701.70
  6. Step 6: Final answer
    x = 30,106.24

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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.