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Finding the Fourth Proportional to 50,902.85, 70,287.21 and 31,804.88

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Solution

The fourth proportional to 50,902.85, 70,287.21 and 31,804.88 is: 43,916.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,902.85 : 70,287.21 = 31,804.88 : x
  2. Step 2: Convert to fraction form
    50,902.85/70,287.21 = 31,804.88/x
  3. Step 3: Cross multiply
    50,902.85x = 70,287.21 × 31,804.88
  4. Step 4: Simplify right side
    50,902.85x = 2,235,475,928.15
  5. Step 5: Solve for x
    x = 2,235,475,928.15/50,902.85
  6. Step 6: Final answer
    x = 43,916.52

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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.