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Finding the Fourth Proportional to 281,102.80, 421,654.20 and 141,134.80

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Solution

The fourth proportional to 281,102.80, 421,654.20 and 141,134.80 is: 211,702.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,102.80 : 421,654.20 = 141,134.80 : x
  2. Step 2: Convert to fraction form
    281,102.80/421,654.20 = 141,134.80/x
  3. Step 3: Cross multiply
    281,102.80x = 421,654.20 × 141,134.80
  4. Step 4: Simplify right side
    281,102.80x = 59,510,081,186.16
  5. Step 5: Solve for x
    x = 59,510,081,186.16/281,102.80
  6. Step 6: Final answer
    x = 211,702.20

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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.