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Finding the Fourth Proportional to 150,709.95, 207,980.46 and 82,729.76

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Solution

The fourth proportional to 150,709.95, 207,980.46 and 82,729.76 is: 114,167.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,709.95 : 207,980.46 = 82,729.76 : x
  2. Step 2: Convert to fraction form
    150,709.95/207,980.46 = 82,729.76/x
  3. Step 3: Cross multiply
    150,709.95x = 207,980.46 × 82,729.76
  4. Step 4: Simplify right side
    150,709.95x = 17,206,172,500.59
  5. Step 5: Solve for x
    x = 17,206,172,500.59/150,709.95
  6. Step 6: Final answer
    x = 114,167.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.