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Finding the Fourth Proportional to 171,686.80, 257,639.55 and 100,609.30

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Solution

The fourth proportional to 171,686.80, 257,639.55 and 100,609.30 is: 150,978.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,686.80 : 257,639.55 = 100,609.30 : x
  2. Step 2: Convert to fraction form
    171,686.80/257,639.55 = 100,609.30/x
  3. Step 3: Cross multiply
    171,686.80x = 257,639.55 × 100,609.30
  4. Step 4: Simplify right side
    171,686.80x = 25,920,934,777.82
  5. Step 5: Solve for x
    x = 25,920,934,777.82/171,686.80
  6. Step 6: Final answer
    x = 150,978.03

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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.