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Finding the Fourth Proportional to 189,963.05, 262,149.54 and 105,080.11

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Solution

The fourth proportional to 189,963.05, 262,149.54 and 105,080.11 is: 145,010.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,963.05 : 262,149.54 = 105,080.11 : x
  2. Step 2: Convert to fraction form
    189,963.05/262,149.54 = 105,080.11/x
  3. Step 3: Cross multiply
    189,963.05x = 262,149.54 × 105,080.11
  4. Step 4: Simplify right side
    189,963.05x = 27,546,702,483.06
  5. Step 5: Solve for x
    x = 27,546,702,483.06/189,963.05
  6. Step 6: Final answer
    x = 145,010.85

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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.