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Finding the Fourth Proportional to 171,461.64, 257,358.47 and 82,777.38

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Solution

The fourth proportional to 171,461.64, 257,358.47 and 82,777.38 is: 124,246.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,461.64 : 257,358.47 = 82,777.38 : x
  2. Step 2: Convert to fraction form
    171,461.64/257,358.47 = 82,777.38/x
  3. Step 3: Cross multiply
    171,461.64x = 257,358.47 × 82,777.38
  4. Step 4: Simplify right side
    171,461.64x = 21,303,458,488.43
  5. Step 5: Solve for x
    x = 21,303,458,488.43/171,461.64
  6. Step 6: Final answer
    x = 124,246.20

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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.