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Finding the Fourth Proportional to 156,775.80, 235,204.22 and 68,009

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Solution

The fourth proportional to 156,775.80, 235,204.22 and 68,009 is: 102,031.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,775.80 : 235,204.22 = 68,009 : x
  2. Step 2: Convert to fraction form
    156,775.80/235,204.22 = 68,009/x
  3. Step 3: Cross multiply
    156,775.80x = 235,204.22 × 68,009
  4. Step 4: Simplify right side
    156,775.80x = 15,996,003,797.98
  5. Step 5: Solve for x
    x = 15,996,003,797.98/156,775.80
  6. Step 6: Final answer
    x = 102,031.08

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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.