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Finding the Fourth Proportional to 195,710.80, 270,076.32 and 115,143.51

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Solution

The fourth proportional to 195,710.80, 270,076.32 and 115,143.51 is: 158,895.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,710.80 : 270,076.32 = 115,143.51 : x
  2. Step 2: Convert to fraction form
    195,710.80/270,076.32 = 115,143.51/x
  3. Step 3: Cross multiply
    195,710.80x = 270,076.32 × 115,143.51
  4. Step 4: Simplify right side
    195,710.80x = 31,097,534,622.45
  5. Step 5: Solve for x
    x = 31,097,534,622.45/195,710.80
  6. Step 6: Final answer
    x = 158,895.34

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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.