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Finding the Fourth Proportional to 171,712.68, 257,567.76 and 53,383.80

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Solution

The fourth proportional to 171,712.68, 257,567.76 and 53,383.80 is: 80,075.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,712.68 : 257,567.76 = 53,383.80 : x
  2. Step 2: Convert to fraction form
    171,712.68/257,567.76 = 53,383.80/x
  3. Step 3: Cross multiply
    171,712.68x = 257,567.76 × 53,383.80
  4. Step 4: Simplify right side
    171,712.68x = 13,749,945,786.29
  5. Step 5: Solve for x
    x = 13,749,945,786.29/171,712.68
  6. Step 6: Final answer
    x = 80,075.31

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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.