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Finding the Fourth Proportional to 68,411.64, 102,649.95 and 47,384.04

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Solution

The fourth proportional to 68,411.64, 102,649.95 and 47,384.04 is: 71,098.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,411.64 : 102,649.95 = 47,384.04 : x
  2. Step 2: Convert to fraction form
    68,411.64/102,649.95 = 47,384.04/x
  3. Step 3: Cross multiply
    68,411.64x = 102,649.95 × 47,384.04
  4. Step 4: Simplify right side
    68,411.64x = 4,863,969,336.80
  5. Step 5: Solve for x
    x = 4,863,969,336.80/68,411.64
  6. Step 6: Final answer
    x = 71,098.56

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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.