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Finding the Fourth Proportional to 194,630.40, 291,729.60 and 76,262.40

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Solution

The fourth proportional to 194,630.40, 291,729.60 and 76,262.40 is: 114,308.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,630.40 : 291,729.60 = 76,262.40 : x
  2. Step 2: Convert to fraction form
    194,630.40/291,729.60 = 76,262.40/x
  3. Step 3: Cross multiply
    194,630.40x = 291,729.60 × 76,262.40
  4. Step 4: Simplify right side
    194,630.40x = 22,247,999,447.04
  5. Step 5: Solve for x
    x = 22,247,999,447.04/194,630.40
  6. Step 6: Final answer
    x = 114,308.96

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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.