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Finding the Fourth Proportional to 135,889.28, 203,678.40 and 52,712

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Solution

The fourth proportional to 135,889.28, 203,678.40 and 52,712 is: 79,007.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,889.28 : 203,678.40 = 52,712 : x
  2. Step 2: Convert to fraction form
    135,889.28/203,678.40 = 52,712/x
  3. Step 3: Cross multiply
    135,889.28x = 203,678.40 × 52,712
  4. Step 4: Simplify right side
    135,889.28x = 10,736,295,820.80
  5. Step 5: Solve for x
    x = 10,736,295,820.80/135,889.28
  6. Step 6: Final answer
    x = 79,007.67

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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.