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Finding the Fourth Proportional to 76,650.74, 114,990.02 and 31,672.19

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Solution

The fourth proportional to 76,650.74, 114,990.02 and 31,672.19 is: 47,514.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,650.74 : 114,990.02 = 31,672.19 : x
  2. Step 2: Convert to fraction form
    76,650.74/114,990.02 = 31,672.19/x
  3. Step 3: Cross multiply
    76,650.74x = 114,990.02 × 31,672.19
  4. Step 4: Simplify right side
    76,650.74x = 3,641,985,028.23
  5. Step 5: Solve for x
    x = 3,641,985,028.23/76,650.74
  6. Step 6: Final answer
    x = 47,514.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.