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Finding the Fourth Proportional to 281,114.40, 421,671.60 and 81,441.30

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Solution

The fourth proportional to 281,114.40, 421,671.60 and 81,441.30 is: 122,161.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,114.40 : 421,671.60 = 81,441.30 : x
  2. Step 2: Convert to fraction form
    281,114.40/421,671.60 = 81,441.30/x
  3. Step 3: Cross multiply
    281,114.40x = 421,671.60 × 81,441.30
  4. Step 4: Simplify right side
    281,114.40x = 34,341,483,277.08
  5. Step 5: Solve for x
    x = 34,341,483,277.08/281,114.40
  6. Step 6: Final answer
    x = 122,161.95

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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.