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Finding the Fourth Proportional to 171,897.28, 257,846 and 53,578.16

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Solution

The fourth proportional to 171,897.28, 257,846 and 53,578.16 is: 80,367.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,897.28 : 257,846 = 53,578.16 : x
  2. Step 2: Convert to fraction form
    171,897.28/257,846 = 53,578.16/x
  3. Step 3: Cross multiply
    171,897.28x = 257,846 × 53,578.16
  4. Step 4: Simplify right side
    171,897.28x = 13,814,914,243.36
  5. Step 5: Solve for x
    x = 13,814,914,243.36/171,897.28
  6. Step 6: Final answer
    x = 80,367.26

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1.5x scale

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.