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Finding the Fourth Proportional to 84,283.86, 126,383.46 and 28,104.08

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Solution

The fourth proportional to 84,283.86, 126,383.46 and 28,104.08 is: 42,142.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,283.86 : 126,383.46 = 28,104.08 : x
  2. Step 2: Convert to fraction form
    84,283.86/126,383.46 = 28,104.08/x
  3. Step 3: Cross multiply
    84,283.86x = 126,383.46 × 28,104.08
  4. Step 4: Simplify right side
    84,283.86x = 3,551,890,870.52
  5. Step 5: Solve for x
    x = 3,551,890,870.52/84,283.86
  6. Step 6: Final answer
    x = 42,142.01

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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.