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Finding the Fourth Proportional to 156,138, 234,213.48 and 45,330

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Solution

The fourth proportional to 156,138, 234,213.48 and 45,330 is: 67,996.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,138 : 234,213.48 = 45,330 : x
  2. Step 2: Convert to fraction form
    156,138/234,213.48 = 45,330/x
  3. Step 3: Cross multiply
    156,138x = 234,213.48 × 45,330
  4. Step 4: Simplify right side
    156,138x = 10,616,897,048.40
  5. Step 5: Solve for x
    x = 10,616,897,048.40/156,138
  6. Step 6: Final answer
    x = 67,996.88

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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.