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Finding the Fourth Proportional to 208,783.85, 313,175.70 and 75,663.86

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Solution

The fourth proportional to 208,783.85, 313,175.70 and 75,663.86 is: 113,495.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,783.85 : 313,175.70 = 75,663.86 : x
  2. Step 2: Convert to fraction form
    208,783.85/313,175.70 = 75,663.86/x
  3. Step 3: Cross multiply
    208,783.85x = 313,175.70 × 75,663.86
  4. Step 4: Simplify right side
    208,783.85x = 23,696,080,754.32
  5. Step 5: Solve for x
    x = 23,696,080,754.32/208,783.85
  6. Step 6: Final answer
    x = 113,495.76

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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.