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Finding the Fourth Proportional to 80,903.51, 121,356.40 and 30,986.15

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Solution

The fourth proportional to 80,903.51, 121,356.40 and 30,986.15 is: 46,479.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,903.51 : 121,356.40 = 30,986.15 : x
  2. Step 2: Convert to fraction form
    80,903.51/121,356.40 = 30,986.15/x
  3. Step 3: Cross multiply
    80,903.51x = 121,356.40 × 30,986.15
  4. Step 4: Simplify right side
    80,903.51x = 3,760,367,074.86
  5. Step 5: Solve for x
    x = 3,760,367,074.86/80,903.51
  6. Step 6: Final answer
    x = 46,479.65

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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.