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Finding the Fourth Proportional to 82,106.88, 123,126.40 and 28,787.68

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Solution

The fourth proportional to 82,106.88, 123,126.40 and 28,787.68 is: 43,169.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,106.88 : 123,126.40 = 28,787.68 : x
  2. Step 2: Convert to fraction form
    82,106.88/123,126.40 = 28,787.68/x
  3. Step 3: Cross multiply
    82,106.88x = 123,126.40 × 28,787.68
  4. Step 4: Simplify right side
    82,106.88x = 3,544,523,402.75
  5. Step 5: Solve for x
    x = 3,544,523,402.75/82,106.88
  6. Step 6: Final answer
    x = 43,169.63

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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.