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Finding the Fourth Proportional to 208,236.58, 312,483.39 and 81,854.71

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Solution

The fourth proportional to 208,236.58, 312,483.39 and 81,854.71 is: 122,832.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,236.58 : 312,483.39 = 81,854.71 : x
  2. Step 2: Convert to fraction form
    208,236.58/312,483.39 = 81,854.71/x
  3. Step 3: Cross multiply
    208,236.58x = 312,483.39 × 81,854.71
  4. Step 4: Simplify right side
    208,236.58x = 25,578,237,268.27
  5. Step 5: Solve for x
    x = 25,578,237,268.27/208,236.58
  6. Step 6: Final answer
    x = 122,832.58

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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.