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Finding the Fourth Proportional to 68,412.90, 102,618.64 and 21,665.78

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Solution

The fourth proportional to 68,412.90, 102,618.64 and 21,665.78 is: 32,498.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,412.90 : 102,618.64 = 21,665.78 : x
  2. Step 2: Convert to fraction form
    68,412.90/102,618.64 = 21,665.78/x
  3. Step 3: Cross multiply
    68,412.90x = 102,618.64 × 21,665.78
  4. Step 4: Simplify right side
    68,412.90x = 2,223,312,256.72
  5. Step 5: Solve for x
    x = 2,223,312,256.72/68,412.90
  6. Step 6: Final answer
    x = 32,498.44

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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.