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Finding the Fourth Proportional to 213,408.66, 294,509.91 and 117,921.54

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Solution

The fourth proportional to 213,408.66, 294,509.91 and 117,921.54 is: 162,735.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,408.66 : 294,509.91 = 117,921.54 : x
  2. Step 2: Convert to fraction form
    213,408.66/294,509.91 = 117,921.54/x
  3. Step 3: Cross multiply
    213,408.66x = 294,509.91 × 117,921.54
  4. Step 4: Simplify right side
    213,408.66x = 34,729,062,132.46
  5. Step 5: Solve for x
    x = 34,729,062,132.46/213,408.66
  6. Step 6: Final answer
    x = 162,735.02

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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.