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Finding the Fourth Proportional to 68,782.62, 103,203.12 and 37,581.42

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Solution

The fourth proportional to 68,782.62, 103,203.12 and 37,581.42 is: 56,388.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,782.62 : 103,203.12 = 37,581.42 : x
  2. Step 2: Convert to fraction form
    68,782.62/103,203.12 = 37,581.42/x
  3. Step 3: Cross multiply
    68,782.62x = 103,203.12 × 37,581.42
  4. Step 4: Simplify right side
    68,782.62x = 3,878,519,798.03
  5. Step 5: Solve for x
    x = 3,878,519,798.03/68,782.62
  6. Step 6: Final answer
    x = 56,388.08

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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.