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Finding the Fourth Proportional to 156,361, 234,541.50 and 68,809

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Solution

The fourth proportional to 156,361, 234,541.50 and 68,809 is: 103,213.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,361 : 234,541.50 = 68,809 : x
  2. Step 2: Convert to fraction form
    156,361/234,541.50 = 68,809/x
  3. Step 3: Cross multiply
    156,361x = 234,541.50 × 68,809
  4. Step 4: Simplify right side
    156,361x = 16,138,566,073.50
  5. Step 5: Solve for x
    x = 16,138,566,073.50/156,361
  6. Step 6: Final answer
    x = 103,213.50

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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.