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Finding the Fourth Proportional to 81,695.40, 122,514.30 and 29,106.60

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Solution

The fourth proportional to 81,695.40, 122,514.30 and 29,106.60 is: 43,649.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,695.40 : 122,514.30 = 29,106.60 : x
  2. Step 2: Convert to fraction form
    81,695.40/122,514.30 = 29,106.60/x
  3. Step 3: Cross multiply
    81,695.40x = 122,514.30 × 29,106.60
  4. Step 4: Simplify right side
    81,695.40x = 3,565,974,724.38
  5. Step 5: Solve for x
    x = 3,565,974,724.38/81,695.40
  6. Step 6: Final answer
    x = 43,649.64

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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.