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Finding the Fourth Proportional to 199,556.31, 299,323.53 and 120,649.35

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Solution

The fourth proportional to 199,556.31, 299,323.53 and 120,649.35 is: 180,967.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,556.31 : 299,323.53 = 120,649.35 : x
  2. Step 2: Convert to fraction form
    199,556.31/299,323.53 = 120,649.35/x
  3. Step 3: Cross multiply
    199,556.31x = 299,323.53 × 120,649.35
  4. Step 4: Simplify right side
    199,556.31x = 36,113,189,334.21
  5. Step 5: Solve for x
    x = 36,113,189,334.21/199,556.31
  6. Step 6: Final answer
    x = 180,967.41

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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.