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Finding the Fourth Proportional to 208,287.84, 312,367.14 and 75,150.84

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Solution

The fourth proportional to 208,287.84, 312,367.14 and 75,150.84 is: 112,702.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,287.84 : 312,367.14 = 75,150.84 : x
  2. Step 2: Convert to fraction form
    208,287.84/312,367.14 = 75,150.84/x
  3. Step 3: Cross multiply
    208,287.84x = 312,367.14 × 75,150.84
  4. Step 4: Simplify right side
    208,287.84x = 23,474,652,959.40
  5. Step 5: Solve for x
    x = 23,474,652,959.40/208,287.84
  6. Step 6: Final answer
    x = 112,702.94

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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.