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Finding the Fourth Proportional to 192,378.92, 265,483.80 and 105,165.82

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Solution

The fourth proportional to 192,378.92, 265,483.80 and 105,165.82 is: 145,129.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,378.92 : 265,483.80 = 105,165.82 : x
  2. Step 2: Convert to fraction form
    192,378.92/265,483.80 = 105,165.82/x
  3. Step 3: Cross multiply
    192,378.92x = 265,483.80 × 105,165.82
  4. Step 4: Simplify right side
    192,378.92x = 27,919,821,523.72
  5. Step 5: Solve for x
    x = 27,919,821,523.72/192,378.92
  6. Step 6: Final answer
    x = 145,129.32

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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.