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Finding the Fourth Proportional to 119,100, 178,704.54 and 51,652.68

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Solution

The fourth proportional to 119,100, 178,704.54 and 51,652.68 is: 77,502.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,100 : 178,704.54 = 51,652.68 : x
  2. Step 2: Convert to fraction form
    119,100/178,704.54 = 51,652.68/x
  3. Step 3: Cross multiply
    119,100x = 178,704.54 × 51,652.68
  4. Step 4: Simplify right side
    119,100x = 9,230,568,419.17
  5. Step 5: Solve for x
    x = 9,230,568,419.17/119,100
  6. Step 6: Final answer
    x = 77,502.67

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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.