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Finding the Fourth Proportional to 78,077.57, 107,737.20 and 44,081.87

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Solution

The fourth proportional to 78,077.57, 107,737.20 and 44,081.87 is: 60,827.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,077.57 : 107,737.20 = 44,081.87 : x
  2. Step 2: Convert to fraction form
    78,077.57/107,737.20 = 44,081.87/x
  3. Step 3: Cross multiply
    78,077.57x = 107,737.20 × 44,081.87
  4. Step 4: Simplify right side
    78,077.57x = 4,749,256,705.88
  5. Step 5: Solve for x
    x = 4,749,256,705.88/78,077.57
  6. Step 6: Final answer
    x = 60,827.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.