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Finding the Fourth Proportional to 81,208.84, 121,826.40 and 25,035.81

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Solution

The fourth proportional to 81,208.84, 121,826.40 and 25,035.81 is: 37,557.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,208.84 : 121,826.40 = 25,035.81 : x
  2. Step 2: Convert to fraction form
    81,208.84/121,826.40 = 25,035.81/x
  3. Step 3: Cross multiply
    81,208.84x = 121,826.40 × 25,035.81
  4. Step 4: Simplify right side
    81,208.84x = 3,050,022,478.20
  5. Step 5: Solve for x
    x = 3,050,022,478.20/81,208.84
  6. Step 6: Final answer
    x = 37,557.76

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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.