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Finding the Fourth Proportional to 31,201.80, 46,729.80 and 30,575.40

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Solution

The fourth proportional to 31,201.80, 46,729.80 and 30,575.40 is: 45,791.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,201.80 : 46,729.80 = 30,575.40 : x
  2. Step 2: Convert to fraction form
    31,201.80/46,729.80 = 30,575.40/x
  3. Step 3: Cross multiply
    31,201.80x = 46,729.80 × 30,575.40
  4. Step 4: Simplify right side
    31,201.80x = 1,428,782,326.92
  5. Step 5: Solve for x
    x = 1,428,782,326.92/31,201.80
  6. Step 6: Final answer
    x = 45,791.66

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1.5x scale

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.