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Finding the Fourth Proportional to 68,002.70, 102,004.05 and 31,138.70

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Solution

The fourth proportional to 68,002.70, 102,004.05 and 31,138.70 is: 46,708.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,002.70 : 102,004.05 = 31,138.70 : x
  2. Step 2: Convert to fraction form
    68,002.70/102,004.05 = 31,138.70/x
  3. Step 3: Cross multiply
    68,002.70x = 102,004.05 × 31,138.70
  4. Step 4: Simplify right side
    68,002.70x = 3,176,273,511.74
  5. Step 5: Solve for x
    x = 3,176,273,511.74/68,002.70
  6. Step 6: Final answer
    x = 46,708.05

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1.5x scale

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.