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Finding the Fourth Proportional to 81,777.95, 122,541.74 and 55,024.86

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Solution

The fourth proportional to 81,777.95, 122,541.74 and 55,024.86 is: 82,453.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,777.95 : 122,541.74 = 55,024.86 : x
  2. Step 2: Convert to fraction form
    81,777.95/122,541.74 = 55,024.86/x
  3. Step 3: Cross multiply
    81,777.95x = 122,541.74 × 55,024.86
  4. Step 4: Simplify right side
    81,777.95x = 6,742,842,087.66
  5. Step 5: Solve for x
    x = 6,742,842,087.66/81,777.95
  6. Step 6: Final answer
    x = 82,453.06

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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.