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Finding the Fourth Proportional to 45,137.50, 67,706.25 and 12,305.50

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Solution

The fourth proportional to 45,137.50, 67,706.25 and 12,305.50 is: 18,458.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,137.50 : 67,706.25 = 12,305.50 : x
  2. Step 2: Convert to fraction form
    45,137.50/67,706.25 = 12,305.50/x
  3. Step 3: Cross multiply
    45,137.50x = 67,706.25 × 12,305.50
  4. Step 4: Simplify right side
    45,137.50x = 833,159,259.38
  5. Step 5: Solve for x
    x = 833,159,259.38/45,137.50
  6. Step 6: Final answer
    x = 18,458.25

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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.