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Finding the Fourth Proportional to 40,781.76, 61,164.78 and 12,702.12

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Solution

The fourth proportional to 40,781.76, 61,164.78 and 12,702.12 is: 19,050.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,781.76 : 61,164.78 = 12,702.12 : x
  2. Step 2: Convert to fraction form
    40,781.76/61,164.78 = 12,702.12/x
  3. Step 3: Cross multiply
    40,781.76x = 61,164.78 × 12,702.12
  4. Step 4: Simplify right side
    40,781.76x = 776,922,375.33
  5. Step 5: Solve for x
    x = 776,922,375.33/40,781.76
  6. Step 6: Final answer
    x = 19,050.73

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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.