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Finding the Fourth Proportional to 82,064.40, 123,096.60 and 76,815.60

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Solution

The fourth proportional to 82,064.40, 123,096.60 and 76,815.60 is: 115,223.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,064.40 : 123,096.60 = 76,815.60 : x
  2. Step 2: Convert to fraction form
    82,064.40/123,096.60 = 76,815.60/x
  3. Step 3: Cross multiply
    82,064.40x = 123,096.60 × 76,815.60
  4. Step 4: Simplify right side
    82,064.40x = 9,455,739,186.96
  5. Step 5: Solve for x
    x = 9,455,739,186.96/82,064.40
  6. Step 6: Final answer
    x = 115,223.40

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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.