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Finding the Fourth Proportional to 68,577.84, 102,789 and 29,110.32

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Solution

The fourth proportional to 68,577.84, 102,789 and 29,110.32 is: 43,632.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,577.84 : 102,789 = 29,110.32 : x
  2. Step 2: Convert to fraction form
    68,577.84/102,789 = 29,110.32/x
  3. Step 3: Cross multiply
    68,577.84x = 102,789 × 29,110.32
  4. Step 4: Simplify right side
    68,577.84x = 2,992,220,682.48
  5. Step 5: Solve for x
    x = 2,992,220,682.48/68,577.84
  6. Step 6: Final answer
    x = 43,632.47

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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.