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Finding the Fourth Proportional to 156,968.70, 235,453.05 and 145,448.70

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Solution

The fourth proportional to 156,968.70, 235,453.05 and 145,448.70 is: 218,173.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,968.70 : 235,453.05 = 145,448.70 : x
  2. Step 2: Convert to fraction form
    156,968.70/235,453.05 = 145,448.70/x
  3. Step 3: Cross multiply
    156,968.70x = 235,453.05 × 145,448.70
  4. Step 4: Simplify right side
    156,968.70x = 34,246,340,033.54
  5. Step 5: Solve for x
    x = 34,246,340,033.54/156,968.70
  6. Step 6: Final answer
    x = 218,173.05

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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.