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Finding the Fourth Proportional to 171,709.65, 257,072.40 and 166,788.90

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Solution

The fourth proportional to 171,709.65, 257,072.40 and 166,788.90 is: 249,705.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,709.65 : 257,072.40 = 166,788.90 : x
  2. Step 2: Convert to fraction form
    171,709.65/257,072.40 = 166,788.90/x
  3. Step 3: Cross multiply
    171,709.65x = 257,072.40 × 166,788.90
  4. Step 4: Simplify right side
    171,709.65x = 42,876,822,816.36
  5. Step 5: Solve for x
    x = 42,876,822,816.36/171,709.65
  6. Step 6: Final answer
    x = 249,705.38

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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.