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Finding the Fourth Proportional to 101,820, 152,738.96 and 37,778.88

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Solution

The fourth proportional to 101,820, 152,738.96 and 37,778.88 is: 56,671.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,820 : 152,738.96 = 37,778.88 : x
  2. Step 2: Convert to fraction form
    101,820/152,738.96 = 37,778.88/x
  3. Step 3: Cross multiply
    101,820x = 152,738.96 × 37,778.88
  4. Step 4: Simplify right side
    101,820x = 5,770,306,841.16
  5. Step 5: Solve for x
    x = 5,770,306,841.16/101,820
  6. Step 6: Final answer
    x = 56,671.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.