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Finding the Fourth Proportional to 68,783.12, 103,203.84 and 37,581.92

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Solution

The fourth proportional to 68,783.12, 103,203.84 and 37,581.92 is: 56,388.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,783.12 : 103,203.84 = 37,581.92 : x
  2. Step 2: Convert to fraction form
    68,783.12/103,203.84 = 37,581.92/x
  3. Step 3: Cross multiply
    68,783.12x = 103,203.84 × 37,581.92
  4. Step 4: Simplify right side
    68,783.12x = 3,878,598,458.57
  5. Step 5: Solve for x
    x = 3,878,598,458.57/68,783.12
  6. Step 6: Final answer
    x = 56,388.81

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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.