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Finding the Fourth Proportional to 231,849, 319,954.86 and 135,050.34

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Solution

The fourth proportional to 231,849, 319,954.86 and 135,050.34 is: 186,371.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,849 : 319,954.86 = 135,050.34 : x
  2. Step 2: Convert to fraction form
    231,849/319,954.86 = 135,050.34/x
  3. Step 3: Cross multiply
    231,849x = 319,954.86 × 135,050.34
  4. Step 4: Simplify right side
    231,849x = 43,210,012,627.65
  5. Step 5: Solve for x
    x = 43,210,012,627.65/231,849
  6. Step 6: Final answer
    x = 186,371.36

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1.5x scale

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.