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Finding the Fourth Proportional to 199,574.31, 275,415.15 and 117,905.25

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Solution

The fourth proportional to 199,574.31, 275,415.15 and 117,905.25 is: 162,710.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,574.31 : 275,415.15 = 117,905.25 : x
  2. Step 2: Convert to fraction form
    199,574.31/275,415.15 = 117,905.25/x
  3. Step 3: Cross multiply
    199,574.31x = 275,415.15 × 117,905.25
  4. Step 4: Simplify right side
    199,574.31x = 32,472,892,114.54
  5. Step 5: Solve for x
    x = 32,472,892,114.54/199,574.31
  6. Step 6: Final answer
    x = 162,710.78

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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.