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Finding the Fourth Proportional to 80,900.85, 121,368.79 and 30,980.95

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Solution

The fourth proportional to 80,900.85, 121,368.79 and 30,980.95 is: 46,478.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,900.85 : 121,368.79 = 30,980.95 : x
  2. Step 2: Convert to fraction form
    80,900.85/121,368.79 = 30,980.95/x
  3. Step 3: Cross multiply
    80,900.85x = 121,368.79 × 30,980.95
  4. Step 4: Simplify right side
    80,900.85x = 3,760,120,159.40
  5. Step 5: Solve for x
    x = 3,760,120,159.40/80,900.85
  6. Step 6: Final answer
    x = 46,478.13

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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.