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Finding the Fourth Proportional to 201,641.40, 278,514.45 and 147,841.20

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Solution

The fourth proportional to 201,641.40, 278,514.45 and 147,841.20 is: 204,203.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,641.40 : 278,514.45 = 147,841.20 : x
  2. Step 2: Convert to fraction form
    201,641.40/278,514.45 = 147,841.20/x
  3. Step 3: Cross multiply
    201,641.40x = 278,514.45 × 147,841.20
  4. Step 4: Simplify right side
    201,641.40x = 41,175,910,505.34
  5. Step 5: Solve for x
    x = 41,175,910,505.34/201,641.40
  6. Step 6: Final answer
    x = 204,203.65

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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.