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Finding the Fourth Proportional to 82,120.66, 123,411.84 and 48,846.76

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Solution

The fourth proportional to 82,120.66, 123,411.84 and 48,846.76 is: 73,407.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,120.66 : 123,411.84 = 48,846.76 : x
  2. Step 2: Convert to fraction form
    82,120.66/123,411.84 = 48,846.76/x
  3. Step 3: Cross multiply
    82,120.66x = 123,411.84 × 48,846.76
  4. Step 4: Simplify right side
    82,120.66x = 6,028,268,529.64
  5. Step 5: Solve for x
    x = 6,028,268,529.64/82,120.66
  6. Step 6: Final answer
    x = 73,407.45

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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.