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Finding the Fourth Proportional to 172,871.20, 259,306.80 and 154,208.80

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Solution

The fourth proportional to 172,871.20, 259,306.80 and 154,208.80 is: 231,313.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,871.20 : 259,306.80 = 154,208.80 : x
  2. Step 2: Convert to fraction form
    172,871.20/259,306.80 = 154,208.80/x
  3. Step 3: Cross multiply
    172,871.20x = 259,306.80 × 154,208.80
  4. Step 4: Simplify right side
    172,871.20x = 39,987,390,459.84
  5. Step 5: Solve for x
    x = 39,987,390,459.84/172,871.20
  6. Step 6: Final answer
    x = 231,313.20

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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.