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Finding the Fourth Proportional to 68,512.60, 102,820.84 and 29,097.40

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Solution

The fourth proportional to 68,512.60, 102,820.84 and 29,097.40 is: 43,668.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,512.60 : 102,820.84 = 29,097.40 : x
  2. Step 2: Convert to fraction form
    68,512.60/102,820.84 = 29,097.40/x
  3. Step 3: Cross multiply
    68,512.60x = 102,820.84 × 29,097.40
  4. Step 4: Simplify right side
    68,512.60x = 2,991,819,109.82
  5. Step 5: Solve for x
    x = 2,991,819,109.82/68,512.60
  6. Step 6: Final answer
    x = 43,668.16

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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.