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Finding the Fourth Proportional to 219,815.60, 303,345.88 and 119,213.68

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Solution

The fourth proportional to 219,815.60, 303,345.88 and 119,213.68 is: 164,515.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,815.60 : 303,345.88 = 119,213.68 : x
  2. Step 2: Convert to fraction form
    219,815.60/303,345.88 = 119,213.68/x
  3. Step 3: Cross multiply
    219,815.60x = 303,345.88 × 119,213.68
  4. Step 4: Simplify right side
    219,815.60x = 36,162,978,667.64
  5. Step 5: Solve for x
    x = 36,162,978,667.64/219,815.60
  6. Step 6: Final answer
    x = 164,515.07

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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.