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Finding the Fourth Proportional to 50,852.98, 70,155.03 and 30,698.38

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Solution

The fourth proportional to 50,852.98, 70,155.03 and 30,698.38 is: 42,350.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,852.98 : 70,155.03 = 30,698.38 : x
  2. Step 2: Convert to fraction form
    50,852.98/70,155.03 = 30,698.38/x
  3. Step 3: Cross multiply
    50,852.98x = 70,155.03 × 30,698.38
  4. Step 4: Simplify right side
    50,852.98x = 2,153,645,769.85
  5. Step 5: Solve for x
    x = 2,153,645,769.85/50,852.98
  6. Step 6: Final answer
    x = 42,350.43

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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.