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Finding the Fourth Proportional to 171,829.45, 257,767.60 and 99,816.20

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Solution

The fourth proportional to 171,829.45, 257,767.60 and 99,816.20 is: 149,737.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,829.45 : 257,767.60 = 99,816.20 : x
  2. Step 2: Convert to fraction form
    171,829.45/257,767.60 = 99,816.20/x
  3. Step 3: Cross multiply
    171,829.45x = 257,767.60 × 99,816.20
  4. Step 4: Simplify right side
    171,829.45x = 25,729,381,930.53
  5. Step 5: Solve for x
    x = 25,729,381,930.53/171,829.45
  6. Step 6: Final answer
    x = 149,737.90

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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.