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Finding the Fourth Proportional to 117,891.85, 162,703.16 and 103,221.64

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Solution

The fourth proportional to 117,891.85, 162,703.16 and 103,221.64 is: 142,456.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,891.85 : 162,703.16 = 103,221.64 : x
  2. Step 2: Convert to fraction form
    117,891.85/162,703.16 = 103,221.64/x
  3. Step 3: Cross multiply
    117,891.85x = 162,703.16 × 103,221.64
  4. Step 4: Simplify right side
    117,891.85x = 16,794,487,008.38
  5. Step 5: Solve for x
    x = 16,794,487,008.38/117,891.85
  6. Step 6: Final answer
    x = 142,456.73

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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.