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Finding the Fourth Proportional to 208,338.61, 312,443.49 and 75,201.94

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Solution

The fourth proportional to 208,338.61, 312,443.49 and 75,201.94 is: 112,779.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,338.61 : 312,443.49 = 75,201.94 : x
  2. Step 2: Convert to fraction form
    208,338.61/312,443.49 = 75,201.94/x
  3. Step 3: Cross multiply
    208,338.61x = 312,443.49 × 75,201.94
  4. Step 4: Simplify right side
    208,338.61x = 23,496,356,588.37
  5. Step 5: Solve for x
    x = 23,496,356,588.37/208,338.61
  6. Step 6: Final answer
    x = 112,779.66

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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.