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Finding the Fourth Proportional to 208,611.81, 312,779.45 and 75,474.74

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Solution

The fourth proportional to 208,611.81, 312,779.45 and 75,474.74 is: 113,162.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,611.81 : 312,779.45 = 75,474.74 : x
  2. Step 2: Convert to fraction form
    208,611.81/312,779.45 = 75,474.74/x
  3. Step 3: Cross multiply
    208,611.81x = 312,779.45 × 75,474.74
  4. Step 4: Simplify right side
    208,611.81x = 23,606,948,636.73
  5. Step 5: Solve for x
    x = 23,606,948,636.73/208,611.81
  6. Step 6: Final answer
    x = 113,162.09

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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.