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Finding the Fourth Proportional to 82,408.63, 113,703.40 and 47,959.01

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Solution

The fourth proportional to 82,408.63, 113,703.40 and 47,959.01 is: 66,171.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,408.63 : 113,703.40 = 47,959.01 : x
  2. Step 2: Convert to fraction form
    82,408.63/113,703.40 = 47,959.01/x
  3. Step 3: Cross multiply
    82,408.63x = 113,703.40 × 47,959.01
  4. Step 4: Simplify right side
    82,408.63x = 5,453,102,768.97
  5. Step 5: Solve for x
    x = 5,453,102,768.97/82,408.63
  6. Step 6: Final answer
    x = 66,171.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.