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Finding the Fourth Proportional to 213,606.73, 320,129.81 and 157,182.64

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Solution

The fourth proportional to 213,606.73, 320,129.81 and 157,182.64 is: 235,567.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,606.73 : 320,129.81 = 157,182.64 : x
  2. Step 2: Convert to fraction form
    213,606.73/320,129.81 = 157,182.64/x
  3. Step 3: Cross multiply
    213,606.73x = 320,129.81 × 157,182.64
  4. Step 4: Simplify right side
    213,606.73x = 50,318,847,681.70
  5. Step 5: Solve for x
    x = 50,318,847,681.70/213,606.73
  6. Step 6: Final answer
    x = 235,567.71

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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.