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Finding the Fourth Proportional to 208,272.46, 312,343.95 and 75,135.32

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Solution

The fourth proportional to 208,272.46, 312,343.95 and 75,135.32 is: 112,679.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,272.46 : 312,343.95 = 75,135.32 : x
  2. Step 2: Convert to fraction form
    208,272.46/312,343.95 = 75,135.32/x
  3. Step 3: Cross multiply
    208,272.46x = 312,343.95 × 75,135.32
  4. Step 4: Simplify right side
    208,272.46x = 23,468,062,633.31
  5. Step 5: Solve for x
    x = 23,468,062,633.31/208,272.46
  6. Step 6: Final answer
    x = 112,679.62

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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.