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Finding the Fourth Proportional to 231,911.30, 320,032.01 and 129,941.06

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Solution

The fourth proportional to 231,911.30, 320,032.01 and 129,941.06 is: 179,315.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,911.30 : 320,032.01 = 129,941.06 : x
  2. Step 2: Convert to fraction form
    231,911.30/320,032.01 = 129,941.06/x
  3. Step 3: Cross multiply
    231,911.30x = 320,032.01 × 129,941.06
  4. Step 4: Simplify right side
    231,911.30x = 41,585,297,338.02
  5. Step 5: Solve for x
    x = 41,585,297,338.02/231,911.30
  6. Step 6: Final answer
    x = 179,315.53

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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.