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Finding the Fourth Proportional to 172,840.30, 259,340.64 and 73,023.80

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Solution

The fourth proportional to 172,840.30, 259,340.64 and 73,023.80 is: 109,569.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,840.30 : 259,340.64 = 73,023.80 : x
  2. Step 2: Convert to fraction form
    172,840.30/259,340.64 = 73,023.80/x
  3. Step 3: Cross multiply
    172,840.30x = 259,340.64 × 73,023.80
  4. Step 4: Simplify right side
    172,840.30x = 18,938,037,456.69
  5. Step 5: Solve for x
    x = 18,938,037,456.69/172,840.30
  6. Step 6: Final answer
    x = 109,569.57

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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.