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Finding the Fourth Proportional to 219,921.40, 303,495.06 and 119,319.40

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Solution

The fourth proportional to 219,921.40, 303,495.06 and 119,319.40 is: 164,662.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,921.40 : 303,495.06 = 119,319.40 : x
  2. Step 2: Convert to fraction form
    219,921.40/303,495.06 = 119,319.40/x
  3. Step 3: Cross multiply
    219,921.40x = 303,495.06 × 119,319.40
  4. Step 4: Simplify right side
    219,921.40x = 36,212,848,462.16
  5. Step 5: Solve for x
    x = 36,212,848,462.16/219,921.40
  6. Step 6: Final answer
    x = 164,662.69

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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.