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Finding the Fourth Proportional to 208,709.28, 312,927.76 and 137,416.12

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Solution

The fourth proportional to 208,709.28, 312,927.76 and 137,416.12 is: 206,034.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,709.28 : 312,927.76 = 137,416.12 : x
  2. Step 2: Convert to fraction form
    208,709.28/312,927.76 = 137,416.12/x
  3. Step 3: Cross multiply
    208,709.28x = 312,927.76 × 137,416.12
  4. Step 4: Simplify right side
    208,709.28x = 43,001,318,619.49
  5. Step 5: Solve for x
    x = 43,001,318,619.49/208,709.28
  6. Step 6: Final answer
    x = 206,034.53

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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.