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Finding the Fourth Proportional to 171,742.20, 257,540.40 and 83,022.90

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Solution

The fourth proportional to 171,742.20, 257,540.40 and 83,022.90 is: 124,499.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,742.20 : 257,540.40 = 83,022.90 : x
  2. Step 2: Convert to fraction form
    171,742.20/257,540.40 = 83,022.90/x
  3. Step 3: Cross multiply
    171,742.20x = 257,540.40 × 83,022.90
  4. Step 4: Simplify right side
    171,742.20x = 21,381,750,875.16
  5. Step 5: Solve for x
    x = 21,381,750,875.16/171,742.20
  6. Step 6: Final answer
    x = 124,499.11

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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.