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Finding the Fourth Proportional to 172,304.94, 257,808.18 and 154,823.52

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Solution

The fourth proportional to 172,304.94, 257,808.18 and 154,823.52 is: 231,651.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,304.94 : 257,808.18 = 154,823.52 : x
  2. Step 2: Convert to fraction form
    172,304.94/257,808.18 = 154,823.52/x
  3. Step 3: Cross multiply
    172,304.94x = 257,808.18 × 154,823.52
  4. Step 4: Simplify right side
    172,304.94x = 39,914,769,912.39
  5. Step 5: Solve for x
    x = 39,914,769,912.39/172,304.94
  6. Step 6: Final answer
    x = 231,651.92

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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.