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Finding the Fourth Proportional to 68,003.85, 102,039.30 and 30,590.40

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Solution

The fourth proportional to 68,003.85, 102,039.30 and 30,590.40 is: 45,900.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,003.85 : 102,039.30 = 30,590.40 : x
  2. Step 2: Convert to fraction form
    68,003.85/102,039.30 = 30,590.40/x
  3. Step 3: Cross multiply
    68,003.85x = 102,039.30 × 30,590.40
  4. Step 4: Simplify right side
    68,003.85x = 3,121,423,002.72
  5. Step 5: Solve for x
    x = 3,121,423,002.72/68,003.85
  6. Step 6: Final answer
    x = 45,900.68

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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.