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Finding the Fourth Proportional to 156,864, 235,163.70 and 68,050.68

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Solution

The fourth proportional to 156,864, 235,163.70 and 68,050.68 is: 102,018.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,864 : 235,163.70 = 68,050.68 : x
  2. Step 2: Convert to fraction form
    156,864/235,163.70 = 68,050.68/x
  3. Step 3: Cross multiply
    156,864x = 235,163.70 × 68,050.68
  4. Step 4: Simplify right side
    156,864x = 16,003,049,696.32
  5. Step 5: Solve for x
    x = 16,003,049,696.32/156,864
  6. Step 6: Final answer
    x = 102,018.63

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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.