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Finding the Fourth Proportional to 208,984.25, 313,475.47 and 51,212.25

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Solution

The fourth proportional to 208,984.25, 313,475.47 and 51,212.25 is: 76,818.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,984.25 : 313,475.47 = 51,212.25 : x
  2. Step 2: Convert to fraction form
    208,984.25/313,475.47 = 51,212.25/x
  3. Step 3: Cross multiply
    208,984.25x = 313,475.47 × 51,212.25
  4. Step 4: Simplify right side
    208,984.25x = 16,053,784,010.48
  5. Step 5: Solve for x
    x = 16,053,784,010.48/208,984.25
  6. Step 6: Final answer
    x = 76,818.15

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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.