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Finding the Fourth Proportional to 208,538.58, 312,807.87 and 75,387.69

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Solution

The fourth proportional to 208,538.58, 312,807.87 and 75,387.69 is: 113,081.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,538.58 : 312,807.87 = 75,387.69 : x
  2. Step 2: Convert to fraction form
    208,538.58/312,807.87 = 75,387.69/x
  3. Step 3: Cross multiply
    208,538.58x = 312,807.87 × 75,387.69
  4. Step 4: Simplify right side
    208,538.58x = 23,581,862,733.12
  5. Step 5: Solve for x
    x = 23,581,862,733.12/208,538.58
  6. Step 6: Final answer
    x = 113,081.54

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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.