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Finding the Fourth Proportional to 72,412, 108,519.36 and 37,277.44

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Solution

The fourth proportional to 72,412, 108,519.36 and 37,277.44 is: 55,865.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,412 : 108,519.36 = 37,277.44 : x
  2. Step 2: Convert to fraction form
    72,412/108,519.36 = 37,277.44/x
  3. Step 3: Cross multiply
    72,412x = 108,519.36 × 37,277.44
  4. Step 4: Simplify right side
    72,412x = 4,045,323,931.24
  5. Step 5: Solve for x
    x = 4,045,323,931.24/72,412
  6. Step 6: Final answer
    x = 55,865.38

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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.