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Finding the Fourth Proportional to 171,870.30, 257,805.45 and 162,028.80

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Solution

The fourth proportional to 171,870.30, 257,805.45 and 162,028.80 is: 243,043.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,870.30 : 257,805.45 = 162,028.80 : x
  2. Step 2: Convert to fraction form
    171,870.30/257,805.45 = 162,028.80/x
  3. Step 3: Cross multiply
    171,870.30x = 257,805.45 × 162,028.80
  4. Step 4: Simplify right side
    171,870.30x = 41,771,907,696.96
  5. Step 5: Solve for x
    x = 41,771,907,696.96/171,870.30
  6. Step 6: Final answer
    x = 243,043.20

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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.