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Finding the Fourth Proportional to 208,291.10, 312,372.25 and 75,154.43

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Solution

The fourth proportional to 208,291.10, 312,372.25 and 75,154.43 is: 112,708.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,291.10 : 312,372.25 = 75,154.43 : x
  2. Step 2: Convert to fraction form
    208,291.10/312,372.25 = 75,154.43/x
  3. Step 3: Cross multiply
    208,291.10x = 312,372.25 × 75,154.43
  4. Step 4: Simplify right side
    208,291.10x = 23,476,158,989.61
  5. Step 5: Solve for x
    x = 23,476,158,989.61/208,291.10
  6. Step 6: Final answer
    x = 112,708.41

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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.