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Finding the Fourth Proportional to 199,398.54, 275,163.28 and 118,784.31

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Solution

The fourth proportional to 199,398.54, 275,163.28 and 118,784.31 is: 163,918.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,398.54 : 275,163.28 = 118,784.31 : x
  2. Step 2: Convert to fraction form
    199,398.54/275,163.28 = 118,784.31/x
  3. Step 3: Cross multiply
    199,398.54x = 275,163.28 × 118,784.31
  4. Step 4: Simplify right side
    199,398.54x = 32,685,079,023.31
  5. Step 5: Solve for x
    x = 32,685,079,023.31/199,398.54
  6. Step 6: Final answer
    x = 163,918.34

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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.