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Finding the Fourth Proportional to 172,544.64, 258,835.68 and 54,219.84

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Solution

The fourth proportional to 172,544.64, 258,835.68 and 54,219.84 is: 81,335.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,544.64 : 258,835.68 = 54,219.84 : x
  2. Step 2: Convert to fraction form
    172,544.64/258,835.68 = 54,219.84/x
  3. Step 3: Cross multiply
    172,544.64x = 258,835.68 × 54,219.84
  4. Step 4: Simplify right side
    172,544.64x = 14,034,029,155.89
  5. Step 5: Solve for x
    x = 14,034,029,155.89/172,544.64
  6. Step 6: Final answer
    x = 81,335.64

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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.