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Finding the Fourth Proportional to 195,170.50, 269,335.47 and 105,746.50

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Solution

The fourth proportional to 195,170.50, 269,335.47 and 105,746.50 is: 145,930.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,170.50 : 269,335.47 = 105,746.50 : x
  2. Step 2: Convert to fraction form
    195,170.50/269,335.47 = 105,746.50/x
  3. Step 3: Cross multiply
    195,170.50x = 269,335.47 × 105,746.50
  4. Step 4: Simplify right side
    195,170.50x = 28,481,283,278.36
  5. Step 5: Solve for x
    x = 28,481,283,278.36/195,170.50
  6. Step 6: Final answer
    x = 145,930.27

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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.