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Finding the Fourth Proportional to 245,162, 338,098.92 and 159,031.28

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Solution

The fourth proportional to 245,162, 338,098.92 and 159,031.28 is: 219,317.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,162 : 338,098.92 = 159,031.28 : x
  2. Step 2: Convert to fraction form
    245,162/338,098.92 = 159,031.28/x
  3. Step 3: Cross multiply
    245,162x = 338,098.92 × 159,031.28
  4. Step 4: Simplify right side
    245,162x = 53,768,304,014.22
  5. Step 5: Solve for x
    x = 53,768,304,014.22/245,162
  6. Step 6: Final answer
    x = 219,317.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.