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Finding the Fourth Proportional to 213,810, 320,714.99 and 98,392.84

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Solution

The fourth proportional to 213,810, 320,714.99 and 98,392.84 is: 147,589.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,810 : 320,714.99 = 98,392.84 : x
  2. Step 2: Convert to fraction form
    213,810/320,714.99 = 98,392.84/x
  3. Step 3: Cross multiply
    213,810x = 320,714.99 × 98,392.84
  4. Step 4: Simplify right side
    213,810x = 31,556,058,942.65
  5. Step 5: Solve for x
    x = 31,556,058,942.65/213,810
  6. Step 6: Final answer
    x = 147,589.26

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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.