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Finding the Fourth Proportional to 81,205.96, 112,039.50 and 47,207.80

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Solution

The fourth proportional to 81,205.96, 112,039.50 and 47,207.80 is: 65,132.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,205.96 : 112,039.50 = 47,207.80 : x
  2. Step 2: Convert to fraction form
    81,205.96/112,039.50 = 47,207.80/x
  3. Step 3: Cross multiply
    81,205.96x = 112,039.50 × 47,207.80
  4. Step 4: Simplify right side
    81,205.96x = 5,289,138,308.10
  5. Step 5: Solve for x
    x = 5,289,138,308.10/81,205.96
  6. Step 6: Final answer
    x = 65,132.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.