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Finding the Fourth Proportional to 82,188.40, 123,210.60 and 55,807.60

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Solution

The fourth proportional to 82,188.40, 123,210.60 and 55,807.60 is: 83,662.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,188.40 : 123,210.60 = 55,807.60 : x
  2. Step 2: Convert to fraction form
    82,188.40/123,210.60 = 55,807.60/x
  3. Step 3: Cross multiply
    82,188.40x = 123,210.60 × 55,807.60
  4. Step 4: Simplify right side
    82,188.40x = 6,876,087,880.56
  5. Step 5: Solve for x
    x = 6,876,087,880.56/82,188.40
  6. Step 6: Final answer
    x = 83,662.51

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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.