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Finding the Fourth Proportional to 172,380.40, 258,578.70 and 54,055.60

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Solution

The fourth proportional to 172,380.40, 258,578.70 and 54,055.60 is: 81,085.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,380.40 : 258,578.70 = 54,055.60 : x
  2. Step 2: Convert to fraction form
    172,380.40/258,578.70 = 54,055.60/x
  3. Step 3: Cross multiply
    172,380.40x = 258,578.70 × 54,055.60
  4. Step 4: Simplify right side
    172,380.40x = 13,977,626,775.72
  5. Step 5: Solve for x
    x = 13,977,626,775.72/172,380.40
  6. Step 6: Final answer
    x = 81,085.94

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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.