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Finding the Fourth Proportional to 82,405.80, 122,915.93 and 74,837.84

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Solution

The fourth proportional to 82,405.80, 122,915.93 and 74,837.84 is: 111,627.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,405.80 : 122,915.93 = 74,837.84 : x
  2. Step 2: Convert to fraction form
    82,405.80/122,915.93 = 74,837.84/x
  3. Step 3: Cross multiply
    82,405.80x = 122,915.93 × 74,837.84
  4. Step 4: Simplify right side
    82,405.80x = 9,198,762,510.67
  5. Step 5: Solve for x
    x = 9,198,762,510.67/82,405.80
  6. Step 6: Final answer
    x = 111,627.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.