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Finding the Fourth Proportional to 96,675.30, 145,012.95 and 30,120.80

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Solution

The fourth proportional to 96,675.30, 145,012.95 and 30,120.80 is: 45,181.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,675.30 : 145,012.95 = 30,120.80 : x
  2. Step 2: Convert to fraction form
    96,675.30/145,012.95 = 30,120.80/x
  3. Step 3: Cross multiply
    96,675.30x = 145,012.95 × 30,120.80
  4. Step 4: Simplify right side
    96,675.30x = 4,367,905,339.30
  5. Step 5: Solve for x
    x = 4,367,905,339.30/96,675.30
  6. Step 6: Final answer
    x = 45,181.19

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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.