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Finding the Fourth Proportional to 82,064.70, 113,342.70 and 55,160.50

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Solution

The fourth proportional to 82,064.70, 113,342.70 and 55,160.50 is: 76,184.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,064.70 : 113,342.70 = 55,160.50 : x
  2. Step 2: Convert to fraction form
    82,064.70/113,342.70 = 55,160.50/x
  3. Step 3: Cross multiply
    82,064.70x = 113,342.70 × 55,160.50
  4. Step 4: Simplify right side
    82,064.70x = 6,252,039,982.10
  5. Step 5: Solve for x
    x = 6,252,039,982.10/82,064.70
  6. Step 6: Final answer
    x = 76,184.28

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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.