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Finding the Fourth Proportional to 119,778, 165,358.44 and 72,042

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Solution

The fourth proportional to 119,778, 165,358.44 and 72,042 is: 99,456.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,778 : 165,358.44 = 72,042 : x
  2. Step 2: Convert to fraction form
    119,778/165,358.44 = 72,042/x
  3. Step 3: Cross multiply
    119,778x = 165,358.44 × 72,042
  4. Step 4: Simplify right side
    119,778x = 11,912,752,734.48
  5. Step 5: Solve for x
    x = 11,912,752,734.48/119,778
  6. Step 6: Final answer
    x = 99,456.93

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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.