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Finding the Fourth Proportional to 171,769.20, 257,678.10 and 53,428.20

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Solution

The fourth proportional to 171,769.20, 257,678.10 and 53,428.20 is: 80,149.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,769.20 : 257,678.10 = 53,428.20 : x
  2. Step 2: Convert to fraction form
    171,769.20/257,678.10 = 53,428.20/x
  3. Step 3: Cross multiply
    171,769.20x = 257,678.10 × 53,428.20
  4. Step 4: Simplify right side
    171,769.20x = 13,767,277,062.42
  5. Step 5: Solve for x
    x = 13,767,277,062.42/171,769.20
  6. Step 6: Final answer
    x = 80,149.86

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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.