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Finding the Fourth Proportional to 208,953.80, 313,291.42 and 75,816.76

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Solution

The fourth proportional to 208,953.80, 313,291.42 and 75,816.76 is: 113,674.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,953.80 : 313,291.42 = 75,816.76 : x
  2. Step 2: Convert to fraction form
    208,953.80/313,291.42 = 75,816.76/x
  3. Step 3: Cross multiply
    208,953.80x = 313,291.42 × 75,816.76
  4. Step 4: Simplify right side
    208,953.80x = 23,752,740,400.20
  5. Step 5: Solve for x
    x = 23,752,740,400.20/208,953.80
  6. Step 6: Final answer
    x = 113,674.60

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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.