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Finding the Fourth Proportional to 281,205.81, 421,385.90 and 112,558.95

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Solution

The fourth proportional to 281,205.81, 421,385.90 and 112,558.95 is: 168,669.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,205.81 : 421,385.90 = 112,558.95 : x
  2. Step 2: Convert to fraction form
    281,205.81/421,385.90 = 112,558.95/x
  3. Step 3: Cross multiply
    281,205.81x = 421,385.90 × 112,558.95
  4. Step 4: Simplify right side
    281,205.81x = 47,430,753,886.01
  5. Step 5: Solve for x
    x = 47,430,753,886.01/281,205.81
  6. Step 6: Final answer
    x = 168,669.18

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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.