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Finding the Fourth Proportional to 195,655.92, 269,978.76 and 115,036.80

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Solution

The fourth proportional to 195,655.92, 269,978.76 and 115,036.80 is: 158,735.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,655.92 : 269,978.76 = 115,036.80 : x
  2. Step 2: Convert to fraction form
    195,655.92/269,978.76 = 115,036.80/x
  3. Step 3: Cross multiply
    195,655.92x = 269,978.76 × 115,036.80
  4. Step 4: Simplify right side
    195,655.92x = 31,057,492,618.37
  5. Step 5: Solve for x
    x = 31,057,492,618.37/195,655.92
  6. Step 6: Final answer
    x = 158,735.26

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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.