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Finding the Fourth Proportional to 45,137, 67,705.50 and 12,305

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Solution

The fourth proportional to 45,137, 67,705.50 and 12,305 is: 18,457.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,137 : 67,705.50 = 12,305 : x
  2. Step 2: Convert to fraction form
    45,137/67,705.50 = 12,305/x
  3. Step 3: Cross multiply
    45,137x = 67,705.50 × 12,305
  4. Step 4: Simplify right side
    45,137x = 833,116,177.50
  5. Step 5: Solve for x
    x = 833,116,177.50/45,137
  6. Step 6: Final answer
    x = 18,457.50

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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.