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Finding the Fourth Proportional to 208,611.63, 312,972.12 and 90,255.24

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Solution

The fourth proportional to 208,611.63, 312,972.12 and 90,255.24 is: 135,406.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,611.63 : 312,972.12 = 90,255.24 : x
  2. Step 2: Convert to fraction form
    208,611.63/312,972.12 = 90,255.24/x
  3. Step 3: Cross multiply
    208,611.63x = 312,972.12 × 90,255.24
  4. Step 4: Simplify right side
    208,611.63x = 28,247,373,803.91
  5. Step 5: Solve for x
    x = 28,247,373,803.91/208,611.63
  6. Step 6: Final answer
    x = 135,406.51

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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.