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Finding the Fourth Proportional to 131,541.42, 197,361.84 and 78,987.54

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Solution

The fourth proportional to 131,541.42, 197,361.84 and 78,987.54 is: 118,511.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,541.42 : 197,361.84 = 78,987.54 : x
  2. Step 2: Convert to fraction form
    131,541.42/197,361.84 = 78,987.54/x
  3. Step 3: Cross multiply
    131,541.42x = 197,361.84 × 78,987.54
  4. Step 4: Simplify right side
    131,541.42x = 15,589,126,231.47
  5. Step 5: Solve for x
    x = 15,589,126,231.47/131,541.42
  6. Step 6: Final answer
    x = 118,511.16

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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.