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Finding the Fourth Proportional to 72,711.86, 109,126.11 and 37,661.54

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Solution

The fourth proportional to 72,711.86, 109,126.11 and 37,661.54 is: 56,522.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,711.86 : 109,126.11 = 37,661.54 : x
  2. Step 2: Convert to fraction form
    72,711.86/109,126.11 = 37,661.54/x
  3. Step 3: Cross multiply
    72,711.86x = 109,126.11 × 37,661.54
  4. Step 4: Simplify right side
    72,711.86x = 4,109,856,811.18
  5. Step 5: Solve for x
    x = 4,109,856,811.18/72,711.86
  6. Step 6: Final answer
    x = 56,522.51

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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.