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Finding the Fourth Proportional to 156,206, 234,380.40 and 85,022

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Solution

The fourth proportional to 156,206, 234,380.40 and 85,022 is: 127,571.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,206 : 234,380.40 = 85,022 : x
  2. Step 2: Convert to fraction form
    156,206/234,380.40 = 85,022/x
  3. Step 3: Cross multiply
    156,206x = 234,380.40 × 85,022
  4. Step 4: Simplify right side
    156,206x = 19,927,490,368.80
  5. Step 5: Solve for x
    x = 19,927,490,368.80/156,206
  6. Step 6: Final answer
    x = 127,571.86

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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.