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Finding the Fourth Proportional to 108,216, 162,181.44 and 45,809.28

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Solution

The fourth proportional to 108,216, 162,181.44 and 45,809.28 is: 68,653.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,216 : 162,181.44 = 45,809.28 : x
  2. Step 2: Convert to fraction form
    108,216/162,181.44 = 45,809.28/x
  3. Step 3: Cross multiply
    108,216x = 162,181.44 × 45,809.28
  4. Step 4: Simplify right side
    108,216x = 7,429,414,995.76
  5. Step 5: Solve for x
    x = 7,429,414,995.76/108,216
  6. Step 6: Final answer
    x = 68,653.57

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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.