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Finding the Fourth Proportional to 213,471.72, 294,537.78 and 121,570.20

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Solution

The fourth proportional to 213,471.72, 294,537.78 and 121,570.20 is: 167,736.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,471.72 : 294,537.78 = 121,570.20 : x
  2. Step 2: Convert to fraction form
    213,471.72/294,537.78 = 121,570.20/x
  3. Step 3: Cross multiply
    213,471.72x = 294,537.78 × 121,570.20
  4. Step 4: Simplify right side
    213,471.72x = 35,807,016,822.16
  5. Step 5: Solve for x
    x = 35,807,016,822.16/213,471.72
  6. Step 6: Final answer
    x = 167,736.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.