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Finding the Fourth Proportional to 82,056, 122,439.94 and 77,040.48

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Solution

The fourth proportional to 82,056, 122,439.94 and 77,040.48 is: 114,956.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,056 : 122,439.94 = 77,040.48 : x
  2. Step 2: Convert to fraction form
    82,056/122,439.94 = 77,040.48/x
  3. Step 3: Cross multiply
    82,056x = 122,439.94 × 77,040.48
  4. Step 4: Simplify right side
    82,056x = 9,432,831,748.77
  5. Step 5: Solve for x
    x = 9,432,831,748.77/82,056
  6. Step 6: Final answer
    x = 114,956.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.