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Finding the Fourth Proportional to 171,912.80, 257,978.55 and 100,835.30

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Solution

The fourth proportional to 171,912.80, 257,978.55 and 100,835.30 is: 151,317.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,912.80 : 257,978.55 = 100,835.30 : x
  2. Step 2: Convert to fraction form
    171,912.80/257,978.55 = 100,835.30/x
  3. Step 3: Cross multiply
    171,912.80x = 257,978.55 × 100,835.30
  4. Step 4: Simplify right side
    171,912.80x = 26,013,344,482.82
  5. Step 5: Solve for x
    x = 26,013,344,482.82/171,912.80
  6. Step 6: Final answer
    x = 151,317.09

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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.