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Finding the Fourth Proportional to 172,546.40, 258,965.40 and 67,440.80

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Solution

The fourth proportional to 172,546.40, 258,965.40 and 67,440.80 is: 101,218.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,546.40 : 258,965.40 = 67,440.80 : x
  2. Step 2: Convert to fraction form
    172,546.40/258,965.40 = 67,440.80/x
  3. Step 3: Cross multiply
    172,546.40x = 258,965.40 × 67,440.80
  4. Step 4: Simplify right side
    172,546.40x = 17,464,833,748.32
  5. Step 5: Solve for x
    x = 17,464,833,748.32/172,546.40
  6. Step 6: Final answer
    x = 101,218.19

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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.