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Finding the Fourth Proportional to 172,394.60, 258,591.90 and 83,821.10

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Solution

The fourth proportional to 172,394.60, 258,591.90 and 83,821.10 is: 125,731.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,394.60 : 258,591.90 = 83,821.10 : x
  2. Step 2: Convert to fraction form
    172,394.60/258,591.90 = 83,821.10/x
  3. Step 3: Cross multiply
    172,394.60x = 258,591.90 × 83,821.10
  4. Step 4: Simplify right side
    172,394.60x = 21,675,457,509.09
  5. Step 5: Solve for x
    x = 21,675,457,509.09/172,394.60
  6. Step 6: Final answer
    x = 125,731.65

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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.