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Finding the Fourth Proportional to 208,925.75, 313,513.16 and 75,816.40

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Solution

The fourth proportional to 208,925.75, 313,513.16 and 75,816.40 is: 113,769.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,925.75 : 313,513.16 = 75,816.40 : x
  2. Step 2: Convert to fraction form
    208,925.75/313,513.16 = 75,816.40/x
  3. Step 3: Cross multiply
    208,925.75x = 313,513.16 × 75,816.40
  4. Step 4: Simplify right side
    208,925.75x = 23,769,437,197.18
  5. Step 5: Solve for x
    x = 23,769,437,197.18/208,925.75
  6. Step 6: Final answer
    x = 113,769.78

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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.