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Finding the Fourth Proportional to 50,891.50, 70,230.30 and 31,019.50

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Solution

The fourth proportional to 50,891.50, 70,230.30 and 31,019.50 is: 42,806.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,891.50 : 70,230.30 = 31,019.50 : x
  2. Step 2: Convert to fraction form
    50,891.50/70,230.30 = 31,019.50/x
  3. Step 3: Cross multiply
    50,891.50x = 70,230.30 × 31,019.50
  4. Step 4: Simplify right side
    50,891.50x = 2,178,508,790.85
  5. Step 5: Solve for x
    x = 2,178,508,790.85/50,891.50
  6. Step 6: Final answer
    x = 42,806.93

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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.