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Finding the Fourth Proportional to 215,707.74, 323,352.63 and 82,485.42

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Solution

The fourth proportional to 215,707.74, 323,352.63 and 82,485.42 is: 123,648.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,707.74 : 323,352.63 = 82,485.42 : x
  2. Step 2: Convert to fraction form
    215,707.74/323,352.63 = 82,485.42/x
  3. Step 3: Cross multiply
    215,707.74x = 323,352.63 × 82,485.42
  4. Step 4: Simplify right side
    215,707.74x = 26,671,877,493.65
  5. Step 5: Solve for x
    x = 26,671,877,493.65/215,707.74
  6. Step 6: Final answer
    x = 123,648.22

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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.