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Finding the Fourth Proportional to 195,798.51, 270,196.70 and 115,230.78

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Solution

The fourth proportional to 195,798.51, 270,196.70 and 115,230.78 is: 159,015.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,798.51 : 270,196.70 = 115,230.78 : x
  2. Step 2: Convert to fraction form
    195,798.51/270,196.70 = 115,230.78/x
  3. Step 3: Cross multiply
    195,798.51x = 270,196.70 × 115,230.78
  4. Step 4: Simplify right side
    195,798.51x = 31,134,975,918.27
  5. Step 5: Solve for x
    x = 31,134,975,918.27/195,798.51
  6. Step 6: Final answer
    x = 159,015.39

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1.5x scale

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.