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Finding the Fourth Proportional to 68,213.60, 102,272.77 and 30,242.28

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Solution

The fourth proportional to 68,213.60, 102,272.77 and 30,242.28 is: 45,342.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,213.60 : 102,272.77 = 30,242.28 : x
  2. Step 2: Convert to fraction form
    68,213.60/102,272.77 = 30,242.28/x
  3. Step 3: Cross multiply
    68,213.60x = 102,272.77 × 30,242.28
  4. Step 4: Simplify right side
    68,213.60x = 3,092,961,746.72
  5. Step 5: Solve for x
    x = 3,092,961,746.72/68,213.60
  6. Step 6: Final answer
    x = 45,342.30

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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.