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Finding the Fourth Proportional to 218,794.95, 301,993.21 and 142,504.16

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Solution

The fourth proportional to 218,794.95, 301,993.21 and 142,504.16 is: 196,692.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,794.95 : 301,993.21 = 142,504.16 : x
  2. Step 2: Convert to fraction form
    218,794.95/301,993.21 = 142,504.16/x
  3. Step 3: Cross multiply
    218,794.95x = 301,993.21 × 142,504.16
  4. Step 4: Simplify right side
    218,794.95x = 43,035,287,206.79
  5. Step 5: Solve for x
    x = 43,035,287,206.79/218,794.95
  6. Step 6: Final answer
    x = 196,692.32

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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.