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Finding the Fourth Proportional to 208,697.26, 312,909.80 and 137,404.10

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Solution

The fourth proportional to 208,697.26, 312,909.80 and 137,404.10 is: 206,016.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,697.26 : 312,909.80 = 137,404.10 : x
  2. Step 2: Convert to fraction form
    208,697.26/312,909.80 = 137,404.10/x
  3. Step 3: Cross multiply
    208,697.26x = 312,909.80 × 137,404.10
  4. Step 4: Simplify right side
    208,697.26x = 42,995,089,450.18
  5. Step 5: Solve for x
    x = 42,995,089,450.18/208,697.26
  6. Step 6: Final answer
    x = 206,016.55

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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.