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Finding the Fourth Proportional to 195,402.96, 269,656.56 and 105,978.96

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Solution

The fourth proportional to 195,402.96, 269,656.56 and 105,978.96 is: 146,251.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,402.96 : 269,656.56 = 105,978.96 : x
  2. Step 2: Convert to fraction form
    195,402.96/269,656.56 = 105,978.96/x
  3. Step 3: Cross multiply
    195,402.96x = 269,656.56 × 105,978.96
  4. Step 4: Simplify right side
    195,402.96x = 28,577,921,785.98
  5. Step 5: Solve for x
    x = 28,577,921,785.98/195,402.96
  6. Step 6: Final answer
    x = 146,251.22

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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.