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Finding the Fourth Proportional to 81,097, 121,711.02 and 34,382.68

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Solution

The fourth proportional to 81,097, 121,711.02 and 34,382.68 is: 51,601.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,097 : 121,711.02 = 34,382.68 : x
  2. Step 2: Convert to fraction form
    81,097/121,711.02 = 34,382.68/x
  3. Step 3: Cross multiply
    81,097x = 121,711.02 × 34,382.68
  4. Step 4: Simplify right side
    81,097x = 4,184,751,053.13
  5. Step 5: Solve for x
    x = 4,184,751,053.13/81,097
  6. Step 6: Final answer
    x = 51,601.80

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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.