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Finding the Fourth Proportional to 189,835.76, 261,978.64 and 104,958.30

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Solution

The fourth proportional to 189,835.76, 261,978.64 and 104,958.30 is: 144,845.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,835.76 : 261,978.64 = 104,958.30 : x
  2. Step 2: Convert to fraction form
    189,835.76/261,978.64 = 104,958.30/x
  3. Step 3: Cross multiply
    189,835.76x = 261,978.64 × 104,958.30
  4. Step 4: Simplify right side
    189,835.76x = 27,496,832,690.71
  5. Step 5: Solve for x
    x = 27,496,832,690.71/189,835.76
  6. Step 6: Final answer
    x = 144,845.38

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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.