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Finding the Fourth Proportional to 68,447.85, 102,670.23 and 30,980.79

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Solution

The fourth proportional to 68,447.85, 102,670.23 and 30,980.79 is: 46,470.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,447.85 : 102,670.23 = 30,980.79 : x
  2. Step 2: Convert to fraction form
    68,447.85/102,670.23 = 30,980.79/x
  3. Step 3: Cross multiply
    68,447.85x = 102,670.23 × 30,980.79
  4. Step 4: Simplify right side
    68,447.85x = 3,180,804,834.88
  5. Step 5: Solve for x
    x = 3,180,804,834.88/68,447.85
  6. Step 6: Final answer
    x = 46,470.49

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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.