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Finding the Fourth Proportional to 130,138.36, 195,076.32 and 98,908

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Solution

The fourth proportional to 130,138.36, 195,076.32 and 98,908 is: 148,262.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,138.36 : 195,076.32 = 98,908 : x
  2. Step 2: Convert to fraction form
    130,138.36/195,076.32 = 98,908/x
  3. Step 3: Cross multiply
    130,138.36x = 195,076.32 × 98,908
  4. Step 4: Simplify right side
    130,138.36x = 19,294,608,658.56
  5. Step 5: Solve for x
    x = 19,294,608,658.56/130,138.36
  6. Step 6: Final answer
    x = 148,262.27

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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.