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Finding the Fourth Proportional to 281,030.93, 421,568.39 and 81,354.32

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Solution

The fourth proportional to 281,030.93, 421,568.39 and 81,354.32 is: 122,037.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,030.93 : 421,568.39 = 81,354.32 : x
  2. Step 2: Convert to fraction form
    281,030.93/421,568.39 = 81,354.32/x
  3. Step 3: Cross multiply
    281,030.93x = 421,568.39 × 81,354.32
  4. Step 4: Simplify right side
    281,030.93x = 34,296,407,797.49
  5. Step 5: Solve for x
    x = 34,296,407,797.49/281,030.93
  6. Step 6: Final answer
    x = 122,037.84

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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.