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Finding the Fourth Proportional to 116,138.56, 160,283.46 and 68,390.89

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Solution

The fourth proportional to 116,138.56, 160,283.46 and 68,390.89 is: 94,386.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,138.56 : 160,283.46 = 68,390.89 : x
  2. Step 2: Convert to fraction form
    116,138.56/160,283.46 = 68,390.89/x
  3. Step 3: Cross multiply
    116,138.56x = 160,283.46 × 68,390.89
  4. Step 4: Simplify right side
    116,138.56x = 10,961,928,481.68
  5. Step 5: Solve for x
    x = 10,961,928,481.68/116,138.56
  6. Step 6: Final answer
    x = 94,386.64

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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.