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Finding the Fourth Proportional to 208,708.26, 312,926.28 and 137,415.12

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Solution

The fourth proportional to 208,708.26, 312,926.28 and 137,415.12 is: 206,033.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,708.26 : 312,926.28 = 137,415.12 : x
  2. Step 2: Convert to fraction form
    208,708.26/312,926.28 = 137,415.12/x
  3. Step 3: Cross multiply
    208,708.26x = 312,926.28 × 137,415.12
  4. Step 4: Simplify right side
    208,708.26x = 43,000,802,317.35
  5. Step 5: Solve for x
    x = 43,000,802,317.35/208,708.26
  6. Step 6: Final answer
    x = 206,033.06

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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.