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Finding the Fourth Proportional to 213,507.37, 320,297.91 and 87,216.22

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Solution

The fourth proportional to 213,507.37, 320,297.91 and 87,216.22 is: 130,839.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,507.37 : 320,297.91 = 87,216.22 : x
  2. Step 2: Convert to fraction form
    213,507.37/320,297.91 = 87,216.22/x
  3. Step 3: Cross multiply
    213,507.37x = 320,297.91 × 87,216.22
  4. Step 4: Simplify right side
    213,507.37x = 27,935,172,984.10
  5. Step 5: Solve for x
    x = 27,935,172,984.10/213,507.37
  6. Step 6: Final answer
    x = 130,839.39

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1.5x scale

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.