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Finding the Fourth Proportional to 213,814.36, 320,714.88 and 101,575.36

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Solution

The fourth proportional to 213,814.36, 320,714.88 and 101,575.36 is: 152,359.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,814.36 : 320,714.88 = 101,575.36 : x
  2. Step 2: Convert to fraction form
    213,814.36/320,714.88 = 101,575.36/x
  3. Step 3: Cross multiply
    213,814.36x = 320,714.88 × 101,575.36
  4. Step 4: Simplify right side
    213,814.36x = 32,576,729,393.36
  5. Step 5: Solve for x
    x = 32,576,729,393.36/213,814.36
  6. Step 6: Final answer
    x = 152,359.88

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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.