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Finding the Fourth Proportional to 222,840.80, 307,519.36 and 120,865.84

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Solution

The fourth proportional to 222,840.80, 307,519.36 and 120,865.84 is: 166,794.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,840.80 : 307,519.36 = 120,865.84 : x
  2. Step 2: Convert to fraction form
    222,840.80/307,519.36 = 120,865.84/x
  3. Step 3: Cross multiply
    222,840.80x = 307,519.36 × 120,865.84
  4. Step 4: Simplify right side
    222,840.80x = 37,168,585,762.66
  5. Step 5: Solve for x
    x = 37,168,585,762.66/222,840.80
  6. Step 6: Final answer
    x = 166,794.35

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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.