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Finding the Fourth Proportional to 208,935, 313,527.03 and 75,825.66

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Solution

The fourth proportional to 208,935, 313,527.03 and 75,825.66 is: 113,783.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,935 : 313,527.03 = 75,825.66 : x
  2. Step 2: Convert to fraction form
    208,935/313,527.03 = 75,825.66/x
  3. Step 3: Cross multiply
    208,935x = 313,527.03 × 75,825.66
  4. Step 4: Simplify right side
    208,935x = 23,773,393,977.59
  5. Step 5: Solve for x
    x = 23,773,393,977.59/208,935
  6. Step 6: Final answer
    x = 113,783.68

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1.5x scale

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.