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Finding the Fourth Proportional to 208,043.96, 312,079.92 and 73,091.62

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Solution

The fourth proportional to 208,043.96, 312,079.92 and 73,091.62 is: 109,642.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,043.96 : 312,079.92 = 73,091.62 : x
  2. Step 2: Convert to fraction form
    208,043.96/312,079.92 = 73,091.62/x
  3. Step 3: Cross multiply
    208,043.96x = 312,079.92 × 73,091.62
  4. Step 4: Simplify right side
    208,043.96x = 22,810,426,922.27
  5. Step 5: Solve for x
    x = 22,810,426,922.27/208,043.96
  6. Step 6: Final answer
    x = 109,642.34

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1.5x scale

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.