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Finding the Fourth Proportional to 77,611.59, 116,418.11 and 30,876.39

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Solution

The fourth proportional to 77,611.59, 116,418.11 and 30,876.39 is: 46,314.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,611.59 : 116,418.11 = 30,876.39 : x
  2. Step 2: Convert to fraction form
    77,611.59/116,418.11 = 30,876.39/x
  3. Step 3: Cross multiply
    77,611.59x = 116,418.11 × 30,876.39
  4. Step 4: Simplify right side
    77,611.59x = 3,594,570,813.04
  5. Step 5: Solve for x
    x = 3,594,570,813.04/77,611.59
  6. Step 6: Final answer
    x = 46,314.87

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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.