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Finding the Fourth Proportional to 171,930.40, 257,312.40 and 150,935.20

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Solution

The fourth proportional to 171,930.40, 257,312.40 and 150,935.20 is: 225,890.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,930.40 : 257,312.40 = 150,935.20 : x
  2. Step 2: Convert to fraction form
    171,930.40/257,312.40 = 150,935.20/x
  3. Step 3: Cross multiply
    171,930.40x = 257,312.40 × 150,935.20
  4. Step 4: Simplify right side
    171,930.40x = 38,837,498,556.48
  5. Step 5: Solve for x
    x = 38,837,498,556.48/171,930.40
  6. Step 6: Final answer
    x = 225,890.82

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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.