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Finding the Fourth Proportional to 281,495.40, 422,270.82 and 81,817.53

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Solution

The fourth proportional to 281,495.40, 422,270.82 and 81,817.53 is: 122,734.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,495.40 : 422,270.82 = 81,817.53 : x
  2. Step 2: Convert to fraction form
    281,495.40/422,270.82 = 81,817.53/x
  3. Step 3: Cross multiply
    281,495.40x = 422,270.82 × 81,817.53
  4. Step 4: Simplify right side
    281,495.40x = 34,549,155,483.47
  5. Step 5: Solve for x
    x = 34,549,155,483.47/281,495.40
  6. Step 6: Final answer
    x = 122,734.35

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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.