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Finding the Fourth Proportional to 78,741.33, 117,980.51 and 55,325.85

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Solution

The fourth proportional to 78,741.33, 117,980.51 and 55,325.85 is: 82,896.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,741.33 : 117,980.51 = 55,325.85 : x
  2. Step 2: Convert to fraction form
    78,741.33/117,980.51 = 55,325.85/x
  3. Step 3: Cross multiply
    78,741.33x = 117,980.51 × 55,325.85
  4. Step 4: Simplify right side
    78,741.33x = 6,527,371,722.55
  5. Step 5: Solve for x
    x = 6,527,371,722.55/78,741.33
  6. Step 6: Final answer
    x = 82,896.39

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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.