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Finding the Fourth Proportional to 172,931.64, 259,435.89 and 53,005.20

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Solution

The fourth proportional to 172,931.64, 259,435.89 and 53,005.20 is: 79,519.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,931.64 : 259,435.89 = 53,005.20 : x
  2. Step 2: Convert to fraction form
    172,931.64/259,435.89 = 53,005.20/x
  3. Step 3: Cross multiply
    172,931.64x = 259,435.89 × 53,005.20
  4. Step 4: Simplify right side
    172,931.64x = 13,751,451,236.63
  5. Step 5: Solve for x
    x = 13,751,451,236.63/172,931.64
  6. Step 6: Final answer
    x = 79,519.58

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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.