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Finding the Fourth Proportional to 78,559.09, 117,745.00 and 54,737.66

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Solution

The fourth proportional to 78,559.09, 117,745.00 and 54,737.66 is: 82,041.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,559.09 : 117,745.00 = 54,737.66 : x
  2. Step 2: Convert to fraction form
    78,559.09/117,745.00 = 54,737.66/x
  3. Step 3: Cross multiply
    78,559.09x = 117,745.00 × 54,737.66
  4. Step 4: Simplify right side
    78,559.09x = 6,445,085,934.22
  5. Step 5: Solve for x
    x = 6,445,085,934.22/78,559.09
  6. Step 6: Final answer
    x = 82,041.25

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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.