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Finding the Fourth Proportional to 208,287.34, 312,366.39 and 75,150.34

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Solution

The fourth proportional to 208,287.34, 312,366.39 and 75,150.34 is: 112,702.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,287.34 : 312,366.39 = 75,150.34 : x
  2. Step 2: Convert to fraction form
    208,287.34/312,366.39 = 75,150.34/x
  3. Step 3: Cross multiply
    208,287.34x = 312,366.39 × 75,150.34
  4. Step 4: Simplify right side
    208,287.34x = 23,474,440,413.07
  5. Step 5: Solve for x
    x = 23,474,440,413.07/208,287.34
  6. Step 6: Final answer
    x = 112,702.20

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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.