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Finding the Fourth Proportional to 189,835.26, 261,978.12 and 104,957.78

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Solution

The fourth proportional to 189,835.26, 261,978.12 and 104,957.78 is: 144,844.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,835.26 : 261,978.12 = 104,957.78 : x
  2. Step 2: Convert to fraction form
    189,835.26/261,978.12 = 104,957.78/x
  3. Step 3: Cross multiply
    189,835.26x = 261,978.12 × 104,957.78
  4. Step 4: Simplify right side
    189,835.26x = 27,496,641,883.77
  5. Step 5: Solve for x
    x = 27,496,641,883.77/189,835.26
  6. Step 6: Final answer
    x = 144,844.76

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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.