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Finding the Fourth Proportional to 81,419.71, 122,316.68 and 57,785.94

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Solution

The fourth proportional to 81,419.71, 122,316.68 and 57,785.94 is: 86,811.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,419.71 : 122,316.68 = 57,785.94 : x
  2. Step 2: Convert to fraction form
    81,419.71/122,316.68 = 57,785.94/x
  3. Step 3: Cross multiply
    81,419.71x = 122,316.68 × 57,785.94
  4. Step 4: Simplify right side
    81,419.71x = 7,068,184,331.48
  5. Step 5: Solve for x
    x = 7,068,184,331.48/81,419.71
  6. Step 6: Final answer
    x = 86,811.71

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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.