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Finding the Fourth Proportional to 202,041.48, 278,714.82 and 154,211.79

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Solution

The fourth proportional to 202,041.48, 278,714.82 and 154,211.79 is: 212,734.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,041.48 : 278,714.82 = 154,211.79 : x
  2. Step 2: Convert to fraction form
    202,041.48/278,714.82 = 154,211.79/x
  3. Step 3: Cross multiply
    202,041.48x = 278,714.82 × 154,211.79
  4. Step 4: Simplify right side
    202,041.48x = 42,981,111,291.73
  5. Step 5: Solve for x
    x = 42,981,111,291.73/202,041.48
  6. Step 6: Final answer
    x = 212,734.09

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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.