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Finding the Fourth Proportional to 76,491.12, 114,741.68 and 20,330.40

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Solution

The fourth proportional to 76,491.12, 114,741.68 and 20,330.40 is: 30,496.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,491.12 : 114,741.68 = 20,330.40 : x
  2. Step 2: Convert to fraction form
    76,491.12/114,741.68 = 20,330.40/x
  3. Step 3: Cross multiply
    76,491.12x = 114,741.68 × 20,330.40
  4. Step 4: Simplify right side
    76,491.12x = 2,332,744,251.07
  5. Step 5: Solve for x
    x = 2,332,744,251.07/76,491.12
  6. Step 6: Final answer
    x = 30,496.93

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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.