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Finding the Fourth Proportional to 84,102.86, 126,206.81 and 34,182.94

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Solution

The fourth proportional to 84,102.86, 126,206.81 and 34,182.94 is: 51,295.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,102.86 : 126,206.81 = 34,182.94 : x
  2. Step 2: Convert to fraction form
    84,102.86/126,206.81 = 34,182.94/x
  3. Step 3: Cross multiply
    84,102.86x = 126,206.81 × 34,182.94
  4. Step 4: Simplify right side
    84,102.86x = 4,314,119,337.26
  5. Step 5: Solve for x
    x = 4,314,119,337.26/84,102.86
  6. Step 6: Final answer
    x = 51,295.75

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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.