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Finding the Fourth Proportional to 156,219, 234,399.90 and 85,035

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Solution

The fourth proportional to 156,219, 234,399.90 and 85,035 is: 127,591.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,219 : 234,399.90 = 85,035 : x
  2. Step 2: Convert to fraction form
    156,219/234,399.90 = 85,035/x
  3. Step 3: Cross multiply
    156,219x = 234,399.90 × 85,035
  4. Step 4: Simplify right side
    156,219x = 19,932,195,496.50
  5. Step 5: Solve for x
    x = 19,932,195,496.50/156,219
  6. Step 6: Final answer
    x = 127,591.37

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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.