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Finding the Fourth Proportional to 82,956, 114,439.80 and 56,107.92

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Solution

The fourth proportional to 82,956, 114,439.80 and 56,107.92 is: 77,402.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,956 : 114,439.80 = 56,107.92 : x
  2. Step 2: Convert to fraction form
    82,956/114,439.80 = 56,107.92/x
  3. Step 3: Cross multiply
    82,956x = 114,439.80 × 56,107.92
  4. Step 4: Simplify right side
    82,956x = 6,420,979,143.22
  5. Step 5: Solve for x
    x = 6,420,979,143.22/82,956
  6. Step 6: Final answer
    x = 77,402.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.