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Finding the Fourth Proportional to 68,000.10, 102,000.15 and 51,411.30

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Solution

The fourth proportional to 68,000.10, 102,000.15 and 51,411.30 is: 77,116.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,000.10 : 102,000.15 = 51,411.30 : x
  2. Step 2: Convert to fraction form
    68,000.10/102,000.15 = 51,411.30/x
  3. Step 3: Cross multiply
    68,000.10x = 102,000.15 × 51,411.30
  4. Step 4: Simplify right side
    68,000.10x = 5,243,960,311.70
  5. Step 5: Solve for x
    x = 5,243,960,311.70/68,000.10
  6. Step 6: Final answer
    x = 77,116.95

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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.