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Finding the Fourth Proportional to 208,850.70, 313,276.05 and 51,077.10

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Solution

The fourth proportional to 208,850.70, 313,276.05 and 51,077.10 is: 76,615.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,850.70 : 313,276.05 = 51,077.10 : x
  2. Step 2: Convert to fraction form
    208,850.70/313,276.05 = 51,077.10/x
  3. Step 3: Cross multiply
    208,850.70x = 313,276.05 × 51,077.10
  4. Step 4: Simplify right side
    208,850.70x = 16,001,232,133.46
  5. Step 5: Solve for x
    x = 16,001,232,133.46/208,850.70
  6. Step 6: Final answer
    x = 76,615.65

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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.