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Finding the Fourth Proportional to 171,340.29, 257,017.71 and 53,013.87

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Solution

The fourth proportional to 171,340.29, 257,017.71 and 53,013.87 is: 79,523.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,340.29 : 257,017.71 = 53,013.87 : x
  2. Step 2: Convert to fraction form
    171,340.29/257,017.71 = 53,013.87/x
  3. Step 3: Cross multiply
    171,340.29x = 257,017.71 × 53,013.87
  4. Step 4: Simplify right side
    171,340.29x = 13,625,503,465.64
  5. Step 5: Solve for x
    x = 13,625,503,465.64/171,340.29
  6. Step 6: Final answer
    x = 79,523.06

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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.