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Finding the Fourth Proportional to 326,775.40, 490,163.48 and 102,137

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Solution

The fourth proportional to 326,775.40, 490,163.48 and 102,137 is: 153,205.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,775.40 : 490,163.48 = 102,137 : x
  2. Step 2: Convert to fraction form
    326,775.40/490,163.48 = 102,137/x
  3. Step 3: Cross multiply
    326,775.40x = 490,163.48 × 102,137
  4. Step 4: Simplify right side
    326,775.40x = 50,063,827,356.76
  5. Step 5: Solve for x
    x = 50,063,827,356.76/326,775.40
  6. Step 6: Final answer
    x = 153,205.62

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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.