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Finding the Fourth Proportional to 81,133.93, 121,712.40 and 24,978.70

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Solution

The fourth proportional to 81,133.93, 121,712.40 and 24,978.70 is: 37,471.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,133.93 : 121,712.40 = 24,978.70 : x
  2. Step 2: Convert to fraction form
    81,133.93/121,712.40 = 24,978.70/x
  3. Step 3: Cross multiply
    81,133.93x = 121,712.40 × 24,978.70
  4. Step 4: Simplify right side
    81,133.93x = 3,040,217,525.88
  5. Step 5: Solve for x
    x = 3,040,217,525.88/81,133.93
  6. Step 6: Final answer
    x = 37,471.59

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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.