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Finding the Fourth Proportional to 213,399.69, 320,134.09 and 65,621.13

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Solution

The fourth proportional to 213,399.69, 320,134.09 and 65,621.13 is: 98,442.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,399.69 : 320,134.09 = 65,621.13 : x
  2. Step 2: Convert to fraction form
    213,399.69/320,134.09 = 65,621.13/x
  3. Step 3: Cross multiply
    213,399.69x = 320,134.09 × 65,621.13
  4. Step 4: Simplify right side
    213,399.69x = 21,007,560,737.32
  5. Step 5: Solve for x
    x = 21,007,560,737.32/213,399.69
  6. Step 6: Final answer
    x = 98,442.32

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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.