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Finding the Fourth Proportional to 171,813.30, 257,282.55 and 163,940.10

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Solution

The fourth proportional to 171,813.30, 257,282.55 and 163,940.10 is: 245,492.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,813.30 : 257,282.55 = 163,940.10 : x
  2. Step 2: Convert to fraction form
    171,813.30/257,282.55 = 163,940.10/x
  3. Step 3: Cross multiply
    171,813.30x = 257,282.55 × 163,940.10
  4. Step 4: Simplify right side
    171,813.30x = 42,178,926,975.26
  5. Step 5: Solve for x
    x = 42,178,926,975.26/171,813.30
  6. Step 6: Final answer
    x = 245,492.79

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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.