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Finding the Fourth Proportional to 172,419.60, 258,823.80 and 133,150.80

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Solution

The fourth proportional to 172,419.60, 258,823.80 and 133,150.80 is: 199,876.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,419.60 : 258,823.80 = 133,150.80 : x
  2. Step 2: Convert to fraction form
    172,419.60/258,823.80 = 133,150.80/x
  3. Step 3: Cross multiply
    172,419.60x = 258,823.80 × 133,150.80
  4. Step 4: Simplify right side
    172,419.60x = 34,462,596,029.04
  5. Step 5: Solve for x
    x = 34,462,596,029.04/172,419.60
  6. Step 6: Final answer
    x = 199,876.33

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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.