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Finding the Fourth Proportional to 68,070.92, 102,106.38 and 31,109

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Solution

The fourth proportional to 68,070.92, 102,106.38 and 31,109 is: 46,663.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,070.92 : 102,106.38 = 31,109 : x
  2. Step 2: Convert to fraction form
    68,070.92/102,106.38 = 31,109/x
  3. Step 3: Cross multiply
    68,070.92x = 102,106.38 × 31,109
  4. Step 4: Simplify right side
    68,070.92x = 3,176,427,375.42
  5. Step 5: Solve for x
    x = 3,176,427,375.42/68,070.92
  6. Step 6: Final answer
    x = 46,663.50

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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.