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Finding the Fourth Proportional to 50,783.80, 76,029.90 and 31,100.80

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Solution

The fourth proportional to 50,783.80, 76,029.90 and 31,100.80 is: 46,561.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,783.80 : 76,029.90 = 31,100.80 : x
  2. Step 2: Convert to fraction form
    50,783.80/76,029.90 = 31,100.80/x
  3. Step 3: Cross multiply
    50,783.80x = 76,029.90 × 31,100.80
  4. Step 4: Simplify right side
    50,783.80x = 2,364,590,713.92
  5. Step 5: Solve for x
    x = 2,364,590,713.92/50,783.80
  6. Step 6: Final answer
    x = 46,561.91

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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.