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Finding the Fourth Proportional to 119,978.14, 179,973.75 and 31,231.90

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Solution

The fourth proportional to 119,978.14, 179,973.75 and 31,231.90 is: 46,849.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,978.14 : 179,973.75 = 31,231.90 : x
  2. Step 2: Convert to fraction form
    119,978.14/179,973.75 = 31,231.90/x
  3. Step 3: Cross multiply
    119,978.14x = 179,973.75 × 31,231.90
  4. Step 4: Simplify right side
    119,978.14x = 5,620,922,162.63
  5. Step 5: Solve for x
    x = 5,620,922,162.63/119,978.14
  6. Step 6: Final answer
    x = 46,849.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.