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Finding the Fourth Proportional to 199,469.34, 275,242.95 and 121,983.93

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Solution

The fourth proportional to 199,469.34, 275,242.95 and 121,983.93 is: 168,322.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,469.34 : 275,242.95 = 121,983.93 : x
  2. Step 2: Convert to fraction form
    199,469.34/275,242.95 = 121,983.93/x
  3. Step 3: Cross multiply
    199,469.34x = 275,242.95 × 121,983.93
  4. Step 4: Simplify right side
    199,469.34x = 33,575,216,745.79
  5. Step 5: Solve for x
    x = 33,575,216,745.79/199,469.34
  6. Step 6: Final answer
    x = 168,322.69

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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.