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Finding the Fourth Proportional to 84,271, 126,427.30 and 25,106.44

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Solution

The fourth proportional to 84,271, 126,427.30 and 25,106.44 is: 37,665.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,271 : 126,427.30 = 25,106.44 : x
  2. Step 2: Convert to fraction form
    84,271/126,427.30 = 25,106.44/x
  3. Step 3: Cross multiply
    84,271x = 126,427.30 × 25,106.44
  4. Step 4: Simplify right side
    84,271x = 3,174,139,421.81
  5. Step 5: Solve for x
    x = 3,174,139,421.81/84,271
  6. Step 6: Final answer
    x = 37,665.86

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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.