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Finding the Fourth Proportional to 172,920.30, 259,380.45 and 54,603.60

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Solution

The fourth proportional to 172,920.30, 259,380.45 and 54,603.60 is: 81,905.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,920.30 : 259,380.45 = 54,603.60 : x
  2. Step 2: Convert to fraction form
    172,920.30/259,380.45 = 54,603.60/x
  3. Step 3: Cross multiply
    172,920.30x = 259,380.45 × 54,603.60
  4. Step 4: Simplify right side
    172,920.30x = 14,163,106,339.62
  5. Step 5: Solve for x
    x = 14,163,106,339.62/172,920.30
  6. Step 6: Final answer
    x = 81,905.40

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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.