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Finding the Fourth Proportional to 208,168.20, 312,060.93 and 75,015.90

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Solution

The fourth proportional to 208,168.20, 312,060.93 and 75,015.90 is: 112,454.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,168.20 : 312,060.93 = 75,015.90 : x
  2. Step 2: Convert to fraction form
    208,168.20/312,060.93 = 75,015.90/x
  3. Step 3: Cross multiply
    208,168.20x = 312,060.93 × 75,015.90
  4. Step 4: Simplify right side
    208,168.20x = 23,409,531,518.79
  5. Step 5: Solve for x
    x = 23,409,531,518.79/208,168.20
  6. Step 6: Final answer
    x = 112,454.89

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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.