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Finding the Fourth Proportional to 208,693.26, 312,903.81 and 137,400.10

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Solution

The fourth proportional to 208,693.26, 312,903.81 and 137,400.10 is: 206,010.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,693.26 : 312,903.81 = 137,400.10 : x
  2. Step 2: Convert to fraction form
    208,693.26/312,903.81 = 137,400.10/x
  3. Step 3: Cross multiply
    208,693.26x = 312,903.81 × 137,400.10
  4. Step 4: Simplify right side
    208,693.26x = 42,993,014,002.12
  5. Step 5: Solve for x
    x = 42,993,014,002.12/208,693.26
  6. Step 6: Final answer
    x = 206,010.55

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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.