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Finding the Fourth Proportional to 208,584.04, 312,690.46 and 75,434.70

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Solution

The fourth proportional to 208,584.04, 312,690.46 and 75,434.70 is: 113,084.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,584.04 : 312,690.46 = 75,434.70 : x
  2. Step 2: Convert to fraction form
    208,584.04/312,690.46 = 75,434.70/x
  3. Step 3: Cross multiply
    208,584.04x = 312,690.46 × 75,434.70
  4. Step 4: Simplify right side
    208,584.04x = 23,587,711,042.96
  5. Step 5: Solve for x
    x = 23,587,711,042.96/208,584.04
  6. Step 6: Final answer
    x = 113,084.93

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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.