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Finding the Fourth Proportional to 281,720.85, 422,671.59 and 82,053.23

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Solution

The fourth proportional to 281,720.85, 422,671.59 and 82,053.23 is: 123,106.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,720.85 : 422,671.59 = 82,053.23 : x
  2. Step 2: Convert to fraction form
    281,720.85/422,671.59 = 82,053.23/x
  3. Step 3: Cross multiply
    281,720.85x = 422,671.59 × 82,053.23
  4. Step 4: Simplify right side
    281,720.85x = 34,681,567,075.38
  5. Step 5: Solve for x
    x = 34,681,567,075.38/281,720.85
  6. Step 6: Final answer
    x = 123,106.14

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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.