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Finding the Fourth Proportional to 31,830.36, 47,739.36 and 30,249.78

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Solution

The fourth proportional to 31,830.36, 47,739.36 and 30,249.78 is: 45,368.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,830.36 : 47,739.36 = 30,249.78 : x
  2. Step 2: Convert to fraction form
    31,830.36/47,739.36 = 30,249.78/x
  3. Step 3: Cross multiply
    31,830.36x = 47,739.36 × 30,249.78
  4. Step 4: Simplify right side
    31,830.36x = 1,444,105,137.34
  5. Step 5: Solve for x
    x = 1,444,105,137.34/31,830.36
  6. Step 6: Final answer
    x = 45,368.80

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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.