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Finding the Fourth Proportional to 96,768.58, 145,152.87 and 30,214.40

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Solution

The fourth proportional to 96,768.58, 145,152.87 and 30,214.40 is: 45,321.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,768.58 : 145,152.87 = 30,214.40 : x
  2. Step 2: Convert to fraction form
    96,768.58/145,152.87 = 30,214.40/x
  3. Step 3: Cross multiply
    96,768.58x = 145,152.87 × 30,214.40
  4. Step 4: Simplify right side
    96,768.58x = 4,385,707,313.75
  5. Step 5: Solve for x
    x = 4,385,707,313.75/96,768.58
  6. Step 6: Final answer
    x = 45,321.61

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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.