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Finding the Fourth Proportional to 209,393.42, 313,965.29 and 142,008.31

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Solution

The fourth proportional to 209,393.42, 313,965.29 and 142,008.31 is: 212,927.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,393.42 : 313,965.29 = 142,008.31 : x
  2. Step 2: Convert to fraction form
    209,393.42/313,965.29 = 142,008.31/x
  3. Step 3: Cross multiply
    209,393.42x = 313,965.29 × 142,008.31
  4. Step 4: Simplify right side
    209,393.42x = 44,585,680,231.56
  5. Step 5: Solve for x
    x = 44,585,680,231.56/209,393.42
  6. Step 6: Final answer
    x = 212,927.80

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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.