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Finding the Fourth Proportional to 156,940.70, 235,411.05 and 83,212.70

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Solution

The fourth proportional to 156,940.70, 235,411.05 and 83,212.70 is: 124,819.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,940.70 : 235,411.05 = 83,212.70 : x
  2. Step 2: Convert to fraction form
    156,940.70/235,411.05 = 83,212.70/x
  3. Step 3: Cross multiply
    156,940.70x = 235,411.05 × 83,212.70
  4. Step 4: Simplify right side
    156,940.70x = 19,589,189,080.34
  5. Step 5: Solve for x
    x = 19,589,189,080.34/156,940.70
  6. Step 6: Final answer
    x = 124,819.05

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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.