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Finding the Fourth Proportional to 78,445.94, 117,683.50 and 31,731.62

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Solution

The fourth proportional to 78,445.94, 117,683.50 and 31,731.62 is: 47,603.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,445.94 : 117,683.50 = 31,731.62 : x
  2. Step 2: Convert to fraction form
    78,445.94/117,683.50 = 31,731.62/x
  3. Step 3: Cross multiply
    78,445.94x = 117,683.50 × 31,731.62
  4. Step 4: Simplify right side
    78,445.94x = 3,734,288,102.27
  5. Step 5: Solve for x
    x = 3,734,288,102.27/78,445.94
  6. Step 6: Final answer
    x = 47,603.33

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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.