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Finding the Fourth Proportional to 230,979.63, 346,469.45 and 86,912.54

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Solution

The fourth proportional to 230,979.63, 346,469.45 and 86,912.54 is: 130,368.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,979.63 : 346,469.45 = 86,912.54 : x
  2. Step 2: Convert to fraction form
    230,979.63/346,469.45 = 86,912.54/x
  3. Step 3: Cross multiply
    230,979.63x = 346,469.45 × 86,912.54
  4. Step 4: Simplify right side
    230,979.63x = 30,112,539,931.90
  5. Step 5: Solve for x
    x = 30,112,539,931.90/230,979.63
  6. Step 6: Final answer
    x = 130,368.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.