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Finding the Fourth Proportional to 208,699.26, 312,912.80 and 137,406.10

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Solution

The fourth proportional to 208,699.26, 312,912.80 and 137,406.10 is: 206,019.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,699.26 : 312,912.80 = 137,406.10 : x
  2. Step 2: Convert to fraction form
    208,699.26/312,912.80 = 137,406.10/x
  3. Step 3: Cross multiply
    208,699.26x = 312,912.80 × 137,406.10
  4. Step 4: Simplify right side
    208,699.26x = 42,996,127,488.08
  5. Step 5: Solve for x
    x = 42,996,127,488.08/208,699.26
  6. Step 6: Final answer
    x = 206,019.55

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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.