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Finding the Fourth Proportional to 84,206.59, 126,299.64 and 52,619.47

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Solution

The fourth proportional to 84,206.59, 126,299.64 and 52,619.47 is: 78,922.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,206.59 : 126,299.64 = 52,619.47 : x
  2. Step 2: Convert to fraction form
    84,206.59/126,299.64 = 52,619.47/x
  3. Step 3: Cross multiply
    84,206.59x = 126,299.64 × 52,619.47
  4. Step 4: Simplify right side
    84,206.59x = 6,645,820,117.99
  5. Step 5: Solve for x
    x = 6,645,820,117.99/84,206.59
  6. Step 6: Final answer
    x = 78,922.80

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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.