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Finding the Fourth Proportional to 281,020.72, 421,528.84 and 114,692.08

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Solution

The fourth proportional to 281,020.72, 421,528.84 and 114,692.08 is: 172,037.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,020.72 : 421,528.84 = 114,692.08 : x
  2. Step 2: Convert to fraction form
    281,020.72/421,528.84 = 114,692.08/x
  3. Step 3: Cross multiply
    281,020.72x = 421,528.84 × 114,692.08
  4. Step 4: Simplify right side
    281,020.72x = 48,346,019,439.59
  5. Step 5: Solve for x
    x = 48,346,019,439.59/281,020.72
  6. Step 6: Final answer
    x = 172,037.21

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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.