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Finding the Fourth Proportional to 68,477.39, 102,724.28 and 29,029.38

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Solution

The fourth proportional to 68,477.39, 102,724.28 and 29,029.38 is: 43,547.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,477.39 : 102,724.28 = 29,029.38 : x
  2. Step 2: Convert to fraction form
    68,477.39/102,724.28 = 29,029.38/x
  3. Step 3: Cross multiply
    68,477.39x = 102,724.28 × 29,029.38
  4. Step 4: Simplify right side
    68,477.39x = 2,982,022,159.35
  5. Step 5: Solve for x
    x = 2,982,022,159.35/68,477.39
  6. Step 6: Final answer
    x = 43,547.54

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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.