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Finding the Fourth Proportional to 172,815.64, 259,214.80 and 67,653.88

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Solution

The fourth proportional to 172,815.64, 259,214.80 and 67,653.88 is: 101,477.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,815.64 : 259,214.80 = 67,653.88 : x
  2. Step 2: Convert to fraction form
    172,815.64/259,214.80 = 67,653.88/x
  3. Step 3: Cross multiply
    172,815.64x = 259,214.80 × 67,653.88
  4. Step 4: Simplify right side
    172,815.64x = 17,536,886,973.42
  5. Step 5: Solve for x
    x = 17,536,886,973.42/172,815.64
  6. Step 6: Final answer
    x = 101,477.43

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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.