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Finding the Fourth Proportional to 208,936, 313,528.53 and 75,826.66

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Solution

The fourth proportional to 208,936, 313,528.53 and 75,826.66 is: 113,785.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,936 : 313,528.53 = 75,826.66 : x
  2. Step 2: Convert to fraction form
    208,936/313,528.53 = 75,826.66/x
  3. Step 3: Cross multiply
    208,936x = 313,528.53 × 75,826.66
  4. Step 4: Simplify right side
    208,936x = 23,773,821,244.61
  5. Step 5: Solve for x
    x = 23,773,821,244.61/208,936
  6. Step 6: Final answer
    x = 113,785.18

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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.