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Finding the Fourth Proportional to 89,078.40, 133,617.60 and 81,820.80

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Solution

The fourth proportional to 89,078.40, 133,617.60 and 81,820.80 is: 122,731.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,078.40 : 133,617.60 = 81,820.80 : x
  2. Step 2: Convert to fraction form
    89,078.40/133,617.60 = 81,820.80/x
  3. Step 3: Cross multiply
    89,078.40x = 133,617.60 × 81,820.80
  4. Step 4: Simplify right side
    89,078.40x = 10,932,698,926.08
  5. Step 5: Solve for x
    x = 10,932,698,926.08/89,078.40
  6. Step 6: Final answer
    x = 122,731.20

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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.