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Finding the Fourth Proportional to 81,954.81, 122,980.05 and 34,567.02

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Solution

The fourth proportional to 81,954.81, 122,980.05 and 34,567.02 is: 51,870.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,954.81 : 122,980.05 = 34,567.02 : x
  2. Step 2: Convert to fraction form
    81,954.81/122,980.05 = 34,567.02/x
  3. Step 3: Cross multiply
    81,954.81x = 122,980.05 × 34,567.02
  4. Step 4: Simplify right side
    81,954.81x = 4,251,053,847.95
  5. Step 5: Solve for x
    x = 4,251,053,847.95/81,954.81
  6. Step 6: Final answer
    x = 51,870.71

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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.