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Finding the Fourth Proportional to 259,900.20, 389,979.90 and 147,666.60

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Solution

The fourth proportional to 259,900.20, 389,979.90 and 147,666.60 is: 221,573.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,900.20 : 389,979.90 = 147,666.60 : x
  2. Step 2: Convert to fraction form
    259,900.20/389,979.90 = 147,666.60/x
  3. Step 3: Cross multiply
    259,900.20x = 389,979.90 × 147,666.60
  4. Step 4: Simplify right side
    259,900.20x = 57,587,005,901.34
  5. Step 5: Solve for x
    x = 57,587,005,901.34/259,900.20
  6. Step 6: Final answer
    x = 221,573.53

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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.