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Finding the Fourth Proportional to 165,721.70, 248,582.55 and 54,913.70

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Solution

The fourth proportional to 165,721.70, 248,582.55 and 54,913.70 is: 82,370.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,721.70 : 248,582.55 = 54,913.70 : x
  2. Step 2: Convert to fraction form
    165,721.70/248,582.55 = 54,913.70/x
  3. Step 3: Cross multiply
    165,721.70x = 248,582.55 × 54,913.70
  4. Step 4: Simplify right side
    165,721.70x = 13,650,587,575.94
  5. Step 5: Solve for x
    x = 13,650,587,575.94/165,721.70
  6. Step 6: Final answer
    x = 82,370.55

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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.