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Finding the Fourth Proportional to 213,688.62, 320,606.64 and 80,606.97

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Solution

The fourth proportional to 213,688.62, 320,606.64 and 80,606.97 is: 120,938.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,688.62 : 320,606.64 = 80,606.97 : x
  2. Step 2: Convert to fraction form
    213,688.62/320,606.64 = 80,606.97/x
  3. Step 3: Cross multiply
    213,688.62x = 320,606.64 × 80,606.97
  4. Step 4: Simplify right side
    213,688.62x = 25,843,129,812.28
  5. Step 5: Solve for x
    x = 25,843,129,812.28/213,688.62
  6. Step 6: Final answer
    x = 120,938.26

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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.