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Finding the Fourth Proportional to 80,735.80, 121,111.95 and 30,857.88

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Solution

The fourth proportional to 80,735.80, 121,111.95 and 30,857.88 is: 46,289.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,735.80 : 121,111.95 = 30,857.88 : x
  2. Step 2: Convert to fraction form
    80,735.80/121,111.95 = 30,857.88/x
  3. Step 3: Cross multiply
    80,735.80x = 121,111.95 × 30,857.88
  4. Step 4: Simplify right side
    80,735.80x = 3,737,257,681.21
  5. Step 5: Solve for x
    x = 3,737,257,681.21/80,735.80
  6. Step 6: Final answer
    x = 46,289.97

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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.