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Finding the Fourth Proportional to 205,156.80, 307,216.80 and 163,684.80

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Solution

The fourth proportional to 205,156.80, 307,216.80 and 163,684.80 is: 245,113.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,156.80 : 307,216.80 = 163,684.80 : x
  2. Step 2: Convert to fraction form
    205,156.80/307,216.80 = 163,684.80/x
  3. Step 3: Cross multiply
    205,156.80x = 307,216.80 × 163,684.80
  4. Step 4: Simplify right side
    205,156.80x = 50,286,720,464.64
  5. Step 5: Solve for x
    x = 50,286,720,464.64/205,156.80
  6. Step 6: Final answer
    x = 245,113.59

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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.