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Finding the Fourth Proportional to 171,871.20, 257,806.80 and 112,085.10

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Solution

The fourth proportional to 171,871.20, 257,806.80 and 112,085.10 is: 168,127.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,871.20 : 257,806.80 = 112,085.10 : x
  2. Step 2: Convert to fraction form
    171,871.20/257,806.80 = 112,085.10/x
  3. Step 3: Cross multiply
    171,871.20x = 257,806.80 × 112,085.10
  4. Step 4: Simplify right side
    171,871.20x = 28,896,300,958.68
  5. Step 5: Solve for x
    x = 28,896,300,958.68/171,871.20
  6. Step 6: Final answer
    x = 168,127.65

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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.