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Finding the Fourth Proportional to 171,882.72, 257,868.80 and 53,556

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Solution

The fourth proportional to 171,882.72, 257,868.80 and 53,556 is: 80,347.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,882.72 : 257,868.80 = 53,556 : x
  2. Step 2: Convert to fraction form
    171,882.72/257,868.80 = 53,556/x
  3. Step 3: Cross multiply
    171,882.72x = 257,868.80 × 53,556
  4. Step 4: Simplify right side
    171,882.72x = 13,810,421,452.80
  5. Step 5: Solve for x
    x = 13,810,421,452.80/171,882.72
  6. Step 6: Final answer
    x = 80,347.93

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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.