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Finding the Fourth Proportional to 172,972.80, 259,254.40 and 129,145.60

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Solution

The fourth proportional to 172,972.80, 259,254.40 and 129,145.60 is: 193,565.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,972.80 : 259,254.40 = 129,145.60 : x
  2. Step 2: Convert to fraction form
    172,972.80/259,254.40 = 129,145.60/x
  3. Step 3: Cross multiply
    172,972.80x = 259,254.40 × 129,145.60
  4. Step 4: Simplify right side
    172,972.80x = 33,481,565,040.64
  5. Step 5: Solve for x
    x = 33,481,565,040.64/172,972.80
  6. Step 6: Final answer
    x = 193,565.49

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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.