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Finding the Fourth Proportional to 82,415.84, 123,724.68 and 54,359.36

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Solution

The fourth proportional to 82,415.84, 123,724.68 and 54,359.36 is: 81,605.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,415.84 : 123,724.68 = 54,359.36 : x
  2. Step 2: Convert to fraction form
    82,415.84/123,724.68 = 54,359.36/x
  3. Step 3: Cross multiply
    82,415.84x = 123,724.68 × 54,359.36
  4. Step 4: Simplify right side
    82,415.84x = 6,725,594,421.00
  5. Step 5: Solve for x
    x = 6,725,594,421.00/82,415.84
  6. Step 6: Final answer
    x = 81,605.60

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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.