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Finding the Fourth Proportional to 222,870.90, 307,560.04 and 120,896.12

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Solution

The fourth proportional to 222,870.90, 307,560.04 and 120,896.12 is: 166,835.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,870.90 : 307,560.04 = 120,896.12 : x
  2. Step 2: Convert to fraction form
    222,870.90/307,560.04 = 120,896.12/x
  3. Step 3: Cross multiply
    222,870.90x = 307,560.04 × 120,896.12
  4. Step 4: Simplify right side
    222,870.90x = 37,182,815,503.04
  5. Step 5: Solve for x
    x = 37,182,815,503.04/222,870.90
  6. Step 6: Final answer
    x = 166,835.67

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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.