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Finding the Fourth Proportional to 199,090.78, 274,745.22 and 109,666.78

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Solution

The fourth proportional to 199,090.78, 274,745.22 and 109,666.78 is: 151,340.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,090.78 : 274,745.22 = 109,666.78 : x
  2. Step 2: Convert to fraction form
    199,090.78/274,745.22 = 109,666.78/x
  3. Step 3: Cross multiply
    199,090.78x = 274,745.22 × 109,666.78
  4. Step 4: Simplify right side
    199,090.78x = 30,130,423,597.79
  5. Step 5: Solve for x
    x = 30,130,423,597.79/199,090.78
  6. Step 6: Final answer
    x = 151,340.13

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1.5x scale

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.