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Finding the Fourth Proportional to 171,820.30, 257,668.64 and 59,470

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Solution

The fourth proportional to 171,820.30, 257,668.64 and 59,470 is: 89,183.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,820.30 : 257,668.64 = 59,470 : x
  2. Step 2: Convert to fraction form
    171,820.30/257,668.64 = 59,470/x
  3. Step 3: Cross multiply
    171,820.30x = 257,668.64 × 59,470
  4. Step 4: Simplify right side
    171,820.30x = 15,323,554,020.80
  5. Step 5: Solve for x
    x = 15,323,554,020.80/171,820.30
  6. Step 6: Final answer
    x = 89,183.61

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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.