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Finding the Fourth Proportional to 128,449.20, 193,636.56 and 119,886

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Solution

The fourth proportional to 128,449.20, 193,636.56 and 119,886 is: 180,727.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,449.20 : 193,636.56 = 119,886 : x
  2. Step 2: Convert to fraction form
    128,449.20/193,636.56 = 119,886/x
  3. Step 3: Cross multiply
    128,449.20x = 193,636.56 × 119,886
  4. Step 4: Simplify right side
    128,449.20x = 23,214,312,632.16
  5. Step 5: Solve for x
    x = 23,214,312,632.16/128,449.20
  6. Step 6: Final answer
    x = 180,727.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.