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Finding the Fourth Proportional to 68,706.64, 102,929.24 and 39,144.88

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Solution

The fourth proportional to 68,706.64, 102,929.24 and 39,144.88 is: 58,642.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,706.64 : 102,929.24 = 39,144.88 : x
  2. Step 2: Convert to fraction form
    68,706.64/102,929.24 = 39,144.88/x
  3. Step 3: Cross multiply
    68,706.64x = 102,929.24 × 39,144.88
  4. Step 4: Simplify right side
    68,706.64x = 4,029,152,748.29
  5. Step 5: Solve for x
    x = 4,029,152,748.29/68,706.64
  6. Step 6: Final answer
    x = 58,642.84

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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.